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Finding the Fourth Proportional to 589,051.40, 883,577.10 and 411,758.60

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Solution

The fourth proportional to 589,051.40, 883,577.10 and 411,758.60 is: 617,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,051.40 : 883,577.10 = 411,758.60 : x
  2. Step 2: Convert to fraction form
    589,051.40/883,577.10 = 411,758.60/x
  3. Step 3: Cross multiply
    589,051.40x = 883,577.10 × 411,758.60
  4. Step 4: Simplify right side
    589,051.40x = 363,820,469,688.06
  5. Step 5: Solve for x
    x = 363,820,469,688.06/589,051.40
  6. Step 6: Final answer
    x = 617,637.90

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.