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Finding the Fourth Proportional to 285,053.65, 427,594.25 and 74,691.79

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Solution

The fourth proportional to 285,053.65, 427,594.25 and 74,691.79 is: 112,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,053.65 : 427,594.25 = 74,691.79 : x
  2. Step 2: Convert to fraction form
    285,053.65/427,594.25 = 74,691.79/x
  3. Step 3: Cross multiply
    285,053.65x = 427,594.25 × 74,691.79
  4. Step 4: Simplify right side
    285,053.65x = 31,937,779,926.21
  5. Step 5: Solve for x
    x = 31,937,779,926.21/285,053.65
  6. Step 6: Final answer
    x = 112,041.29

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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.