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Finding the Fourth Proportional to 493,691.68, 740,038.96 and 194,382.32

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Solution

The fourth proportional to 493,691.68, 740,038.96 and 194,382.32 is: 291,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,691.68 : 740,038.96 = 194,382.32 : x
  2. Step 2: Convert to fraction form
    493,691.68/740,038.96 = 194,382.32/x
  3. Step 3: Cross multiply
    493,691.68x = 740,038.96 × 194,382.32
  4. Step 4: Simplify right side
    493,691.68x = 143,850,489,935.19
  5. Step 5: Solve for x
    x = 143,850,489,935.19/493,691.68
  6. Step 6: Final answer
    x = 291,377.18

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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.