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Finding the Fourth Proportional to 462,833.93, 694,301.93 and 147,217.02

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Solution

The fourth proportional to 462,833.93, 694,301.93 and 147,217.02 is: 220,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,833.93 : 694,301.93 = 147,217.02 : x
  2. Step 2: Convert to fraction form
    462,833.93/694,301.93 = 147,217.02/x
  3. Step 3: Cross multiply
    462,833.93x = 694,301.93 × 147,217.02
  4. Step 4: Simplify right side
    462,833.93x = 102,213,060,378.76
  5. Step 5: Solve for x
    x = 102,213,060,378.76/462,833.93
  6. Step 6: Final answer
    x = 220,841.76

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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.