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Finding the Fourth Proportional to 462,176.92, 693,263.52 and 146,658.43

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Solution

The fourth proportional to 462,176.92, 693,263.52 and 146,658.43 is: 219,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,176.92 : 693,263.52 = 146,658.43 : x
  2. Step 2: Convert to fraction form
    462,176.92/693,263.52 = 146,658.43/x
  3. Step 3: Cross multiply
    462,176.92x = 693,263.52 × 146,658.43
  4. Step 4: Simplify right side
    462,176.92x = 101,672,939,419.47
  5. Step 5: Solve for x
    x = 101,672,939,419.47/462,176.92
  6. Step 6: Final answer
    x = 219,987.05

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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.