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Finding the Fourth Proportional to 462,306.24, 693,462.24 and 142,454.16

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Solution

The fourth proportional to 462,306.24, 693,462.24 and 142,454.16 is: 213,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,306.24 : 693,462.24 = 142,454.16 : x
  2. Step 2: Convert to fraction form
    462,306.24/693,462.24 = 142,454.16/x
  3. Step 3: Cross multiply
    462,306.24x = 693,462.24 × 142,454.16
  4. Step 4: Simplify right side
    462,306.24x = 98,786,580,890.92
  5. Step 5: Solve for x
    x = 98,786,580,890.92/462,306.24
  6. Step 6: Final answer
    x = 213,682.13

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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.