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Finding the Fourth Proportional to 648,003.80, 972,005.70 and 411,613.40

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Solution

The fourth proportional to 648,003.80, 972,005.70 and 411,613.40 is: 617,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,003.80 : 972,005.70 = 411,613.40 : x
  2. Step 2: Convert to fraction form
    648,003.80/972,005.70 = 411,613.40/x
  3. Step 3: Cross multiply
    648,003.80x = 972,005.70 × 411,613.40
  4. Step 4: Simplify right side
    648,003.80x = 400,090,570,996.38
  5. Step 5: Solve for x
    x = 400,090,570,996.38/648,003.80
  6. Step 6: Final answer
    x = 617,420.10

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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.