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Finding the Fourth Proportional to 429,101.28, 592,354.62 and 293,355

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Solution

The fourth proportional to 429,101.28, 592,354.62 and 293,355 is: 404,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,101.28 : 592,354.62 = 293,355 : x
  2. Step 2: Convert to fraction form
    429,101.28/592,354.62 = 293,355/x
  3. Step 3: Cross multiply
    429,101.28x = 592,354.62 × 293,355
  4. Step 4: Simplify right side
    429,101.28x = 173,770,189,550.10
  5. Step 5: Solve for x
    x = 173,770,189,550.10/429,101.28
  6. Step 6: Final answer
    x = 404,963.11

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