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Finding the Fourth Proportional to 359,253.60, 538,102.80 and 233,282.40

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Solution

The fourth proportional to 359,253.60, 538,102.80 and 233,282.40 is: 349,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,253.60 : 538,102.80 = 233,282.40 : x
  2. Step 2: Convert to fraction form
    359,253.60/538,102.80 = 233,282.40/x
  3. Step 3: Cross multiply
    359,253.60x = 538,102.80 × 233,282.40
  4. Step 4: Simplify right side
    359,253.60x = 125,529,912,630.72
  5. Step 5: Solve for x
    x = 125,529,912,630.72/359,253.60
  6. Step 6: Final answer
    x = 349,418.66

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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.