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Finding the Fourth Proportional to 359,097.40, 537,998.10 and 171,695.80

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Solution

The fourth proportional to 359,097.40, 537,998.10 and 171,695.80 is: 257,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,097.40 : 537,998.10 = 171,695.80 : x
  2. Step 2: Convert to fraction form
    359,097.40/537,998.10 = 171,695.80/x
  3. Step 3: Cross multiply
    359,097.40x = 537,998.10 × 171,695.80
  4. Step 4: Simplify right side
    359,097.40x = 92,372,014,177.98
  5. Step 5: Solve for x
    x = 92,372,014,177.98/359,097.40
  6. Step 6: Final answer
    x = 257,233.87

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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.