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Finding the Fourth Proportional to 359,257.60, 538,108.80 and 233,286.40

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Solution

The fourth proportional to 359,257.60, 538,108.80 and 233,286.40 is: 349,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,257.60 : 538,108.80 = 233,286.40 : x
  2. Step 2: Convert to fraction form
    359,257.60/538,108.80 = 233,286.40/x
  3. Step 3: Cross multiply
    359,257.60x = 538,108.80 × 233,286.40
  4. Step 4: Simplify right side
    359,257.60x = 125,533,464,760.32
  5. Step 5: Solve for x
    x = 125,533,464,760.32/359,257.60
  6. Step 6: Final answer
    x = 349,424.66

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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.