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Finding the Fourth Proportional to 462,083.60, 693,125.40 and 284,013.20

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Solution

The fourth proportional to 462,083.60, 693,125.40 and 284,013.20 is: 426,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,083.60 : 693,125.40 = 284,013.20 : x
  2. Step 2: Convert to fraction form
    462,083.60/693,125.40 = 284,013.20/x
  3. Step 3: Cross multiply
    462,083.60x = 693,125.40 × 284,013.20
  4. Step 4: Simplify right side
    462,083.60x = 196,856,762,855.28
  5. Step 5: Solve for x
    x = 196,856,762,855.28/462,083.60
  6. Step 6: Final answer
    x = 426,019.80

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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.