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Finding the Fourth Proportional to 475,229.80, 712,499.10 and 194,602.60

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Solution

The fourth proportional to 475,229.80, 712,499.10 and 194,602.60 is: 291,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,229.80 : 712,499.10 = 194,602.60 : x
  2. Step 2: Convert to fraction form
    475,229.80/712,499.10 = 194,602.60/x
  3. Step 3: Cross multiply
    475,229.80x = 712,499.10 × 194,602.60
  4. Step 4: Simplify right side
    475,229.80x = 138,654,177,357.66
  5. Step 5: Solve for x
    x = 138,654,177,357.66/475,229.80
  6. Step 6: Final answer
    x = 291,762.38

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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.