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Finding the Fourth Proportional to 466,516.80, 698,608.80 and 307,886.40

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Solution

The fourth proportional to 466,516.80, 698,608.80 and 307,886.40 is: 461,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,516.80 : 698,608.80 = 307,886.40 : x
  2. Step 2: Convert to fraction form
    466,516.80/698,608.80 = 307,886.40/x
  3. Step 3: Cross multiply
    466,516.80x = 698,608.80 × 307,886.40
  4. Step 4: Simplify right side
    466,516.80x = 215,092,148,440.32
  5. Step 5: Solve for x
    x = 215,092,148,440.32/466,516.80
  6. Step 6: Final answer
    x = 461,059.81

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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.