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Finding the Fourth Proportional to 730,499.31, 1,008,087.42 and 408,209.42

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Solution

The fourth proportional to 730,499.31, 1,008,087.42 and 408,209.42 is: 563,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,499.31 : 1,008,087.42 = 408,209.42 : x
  2. Step 2: Convert to fraction form
    730,499.31/1,008,087.42 = 408,209.42/x
  3. Step 3: Cross multiply
    730,499.31x = 1,008,087.42 × 408,209.42
  4. Step 4: Simplify right side
    730,499.31x = 411,510,785,078.50
  5. Step 5: Solve for x
    x = 411,510,785,078.50/730,499.31
  6. Step 6: Final answer
    x = 563,328.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.