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Finding the Fourth Proportional to 462,224.98, 693,337.46 and 125,265.64

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Solution

The fourth proportional to 462,224.98, 693,337.46 and 125,265.64 is: 187,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,224.98 : 693,337.46 = 125,265.64 : x
  2. Step 2: Convert to fraction form
    462,224.98/693,337.46 = 125,265.64/x
  3. Step 3: Cross multiply
    462,224.98x = 693,337.46 × 125,265.64
  4. Step 4: Simplify right side
    462,224.98x = 86,851,357,196.19
  5. Step 5: Solve for x
    x = 86,851,357,196.19/462,224.98
  6. Step 6: Final answer
    x = 187,898.45

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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.