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Finding the Fourth Proportional to 509,905.40, 764,858.10 and 478,412.60

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Solution

The fourth proportional to 509,905.40, 764,858.10 and 478,412.60 is: 717,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,905.40 : 764,858.10 = 478,412.60 : x
  2. Step 2: Convert to fraction form
    509,905.40/764,858.10 = 478,412.60/x
  3. Step 3: Cross multiply
    509,905.40x = 764,858.10 × 478,412.60
  4. Step 4: Simplify right side
    509,905.40x = 365,917,752,252.06
  5. Step 5: Solve for x
    x = 365,917,752,252.06/509,905.40
  6. Step 6: Final answer
    x = 717,618.90

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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.