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Finding the Fourth Proportional to 462,291.84, 693,532.80 and 146,741.76

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Solution

The fourth proportional to 462,291.84, 693,532.80 and 146,741.76 is: 220,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,291.84 : 693,532.80 = 146,741.76 : x
  2. Step 2: Convert to fraction form
    462,291.84/693,532.80 = 146,741.76/x
  3. Step 3: Cross multiply
    462,291.84x = 693,532.80 × 146,741.76
  4. Step 4: Simplify right side
    462,291.84x = 101,770,223,689.73
  5. Step 5: Solve for x
    x = 101,770,223,689.73/462,291.84
  6. Step 6: Final answer
    x = 220,142.81

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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.