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Finding the Fourth Proportional to 622,892.40, 932,783.40 and 411,385.20

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Solution

The fourth proportional to 622,892.40, 932,783.40 and 411,385.20 is: 616,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,892.40 : 932,783.40 = 411,385.20 : x
  2. Step 2: Convert to fraction form
    622,892.40/932,783.40 = 411,385.20/x
  3. Step 3: Cross multiply
    622,892.40x = 932,783.40 × 411,385.20
  4. Step 4: Simplify right side
    622,892.40x = 383,733,285,565.68
  5. Step 5: Solve for x
    x = 383,733,285,565.68/622,892.40
  6. Step 6: Final answer
    x = 616,050.68

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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.