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Finding the Fourth Proportional to 493,612.60, 741,293.70 and 381,565.30

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Solution

The fourth proportional to 493,612.60, 741,293.70 and 381,565.30 is: 573,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,612.60 : 741,293.70 = 381,565.30 : x
  2. Step 2: Convert to fraction form
    493,612.60/741,293.70 = 381,565.30/x
  3. Step 3: Cross multiply
    493,612.60x = 741,293.70 × 381,565.30
  4. Step 4: Simplify right side
    493,612.60x = 282,851,953,028.61
  5. Step 5: Solve for x
    x = 282,851,953,028.61/493,612.60
  6. Step 6: Final answer
    x = 573,024.18

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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.