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Finding the Fourth Proportional to 467,095.92, 642,211.50 and 415,611.60

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Solution

The fourth proportional to 467,095.92, 642,211.50 and 415,611.60 is: 571,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,095.92 : 642,211.50 = 415,611.60 : x
  2. Step 2: Convert to fraction form
    467,095.92/642,211.50 = 415,611.60/x
  3. Step 3: Cross multiply
    467,095.92x = 642,211.50 × 415,611.60
  4. Step 4: Simplify right side
    467,095.92x = 266,910,549,053.40
  5. Step 5: Solve for x
    x = 266,910,549,053.40/467,095.92
  6. Step 6: Final answer
    x = 571,425.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.