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Finding the Fourth Proportional to 462,287.70, 693,553.05 and 146,744.10

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Solution

The fourth proportional to 462,287.70, 693,553.05 and 146,744.10 is: 220,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,287.70 : 693,553.05 = 146,744.10 : x
  2. Step 2: Convert to fraction form
    462,287.70/693,553.05 = 146,744.10/x
  3. Step 3: Cross multiply
    462,287.70x = 693,553.05 × 146,744.10
  4. Step 4: Simplify right side
    462,287.70x = 101,774,818,124.51
  5. Step 5: Solve for x
    x = 101,774,818,124.51/462,287.70
  6. Step 6: Final answer
    x = 220,154.72

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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.