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Finding the Fourth Proportional to 461,728.20, 692,592.30 and 146,209.80

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Solution

The fourth proportional to 461,728.20, 692,592.30 and 146,209.80 is: 219,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,728.20 : 692,592.30 = 146,209.80 : x
  2. Step 2: Convert to fraction form
    461,728.20/692,592.30 = 146,209.80/x
  3. Step 3: Cross multiply
    461,728.20x = 692,592.30 × 146,209.80
  4. Step 4: Simplify right side
    461,728.20x = 101,263,781,664.54
  5. Step 5: Solve for x
    x = 101,263,781,664.54/461,728.20
  6. Step 6: Final answer
    x = 219,314.70

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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.