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Finding the Fourth Proportional to 466,470.16, 699,712.80 and 146,611.96

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Solution

The fourth proportional to 466,470.16, 699,712.80 and 146,611.96 is: 219,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,470.16 : 699,712.80 = 146,611.96 : x
  2. Step 2: Convert to fraction form
    466,470.16/699,712.80 = 146,611.96/x
  3. Step 3: Cross multiply
    466,470.16x = 699,712.80 × 146,611.96
  4. Step 4: Simplify right side
    466,470.16x = 102,586,265,045.09
  5. Step 5: Solve for x
    x = 102,586,265,045.09/466,470.16
  6. Step 6: Final answer
    x = 219,920.32

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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.