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Finding the Fourth Proportional to 461,729.70, 692,594.55 and 146,211.30

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Solution

The fourth proportional to 461,729.70, 692,594.55 and 146,211.30 is: 219,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,729.70 : 692,594.55 = 146,211.30 : x
  2. Step 2: Convert to fraction form
    461,729.70/692,594.55 = 146,211.30/x
  3. Step 3: Cross multiply
    461,729.70x = 692,594.55 × 146,211.30
  4. Step 4: Simplify right side
    461,729.70x = 101,265,149,528.42
  5. Step 5: Solve for x
    x = 101,265,149,528.42/461,729.70
  6. Step 6: Final answer
    x = 219,316.95

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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.