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Finding the Fourth Proportional to 684,878.20, 944,917.68 and 413,029.24

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Solution

The fourth proportional to 684,878.20, 944,917.68 and 413,029.24 is: 569,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,878.20 : 944,917.68 = 413,029.24 : x
  2. Step 2: Convert to fraction form
    684,878.20/944,917.68 = 413,029.24/x
  3. Step 3: Cross multiply
    684,878.20x = 944,917.68 × 413,029.24
  4. Step 4: Simplify right side
    684,878.20x = 390,278,630,419.53
  5. Step 5: Solve for x
    x = 390,278,630,419.53/684,878.20
  6. Step 6: Final answer
    x = 569,851.15

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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.