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Finding the Fourth Proportional to 359,255.60, 538,105.80 and 233,284.40

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Solution

The fourth proportional to 359,255.60, 538,105.80 and 233,284.40 is: 349,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,255.60 : 538,105.80 = 233,284.40 : x
  2. Step 2: Convert to fraction form
    359,255.60/538,105.80 = 233,284.40/x
  3. Step 3: Cross multiply
    359,255.60x = 538,105.80 × 233,284.40
  4. Step 4: Simplify right side
    359,255.60x = 125,531,688,689.52
  5. Step 5: Solve for x
    x = 125,531,688,689.52/359,255.60
  6. Step 6: Final answer
    x = 349,421.66

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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.