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Finding the Fourth Proportional to 462,981.43, 694,521.96 and 147,364.52

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Solution

The fourth proportional to 462,981.43, 694,521.96 and 147,364.52 is: 221,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,981.43 : 694,521.96 = 147,364.52 : x
  2. Step 2: Convert to fraction form
    462,981.43/694,521.96 = 147,364.52/x
  3. Step 3: Cross multiply
    462,981.43x = 694,521.96 × 147,364.52
  4. Step 4: Simplify right side
    462,981.43x = 102,347,894,528.04
  5. Step 5: Solve for x
    x = 102,347,894,528.04/462,981.43
  6. Step 6: Final answer
    x = 221,062.64

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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.