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Finding the Fourth Proportional to 359,686.40, 538,881.60 and 172,284.80

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Solution

The fourth proportional to 359,686.40, 538,881.60 and 172,284.80 is: 258,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,686.40 : 538,881.60 = 172,284.80 : x
  2. Step 2: Convert to fraction form
    359,686.40/538,881.60 = 172,284.80/x
  3. Step 3: Cross multiply
    359,686.40x = 538,881.60 × 172,284.80
  4. Step 4: Simplify right side
    359,686.40x = 92,841,108,679.68
  5. Step 5: Solve for x
    x = 92,841,108,679.68/359,686.40
  6. Step 6: Final answer
    x = 258,116.82

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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.