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Finding the Fourth Proportional to 462,220.32, 693,324.90 and 146,679.96

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Solution

The fourth proportional to 462,220.32, 693,324.90 and 146,679.96 is: 220,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,220.32 : 693,324.90 = 146,679.96 : x
  2. Step 2: Convert to fraction form
    462,220.32/693,324.90 = 146,679.96/x
  3. Step 3: Cross multiply
    462,220.32x = 693,324.90 × 146,679.96
  4. Step 4: Simplify right side
    462,220.32x = 101,696,868,599.00
  5. Step 5: Solve for x
    x = 101,696,868,599.00/462,220.32
  6. Step 6: Final answer
    x = 220,018.17

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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.