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Finding the Fourth Proportional to 466,573.06, 699,981.92 and 146,711.96

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Solution

The fourth proportional to 466,573.06, 699,981.92 and 146,711.96 is: 220,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,573.06 : 699,981.92 = 146,711.96 : x
  2. Step 2: Convert to fraction form
    466,573.06/699,981.92 = 146,711.96/x
  3. Step 3: Cross multiply
    466,573.06x = 699,981.92 × 146,711.96
  4. Step 4: Simplify right side
    466,573.06x = 102,695,719,447.76
  5. Step 5: Solve for x
    x = 102,695,719,447.76/466,573.06
  6. Step 6: Final answer
    x = 220,106.41

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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.