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Finding the Fourth Proportional to 359,572.42, 538,844.64 and 264,053.44

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Solution

The fourth proportional to 359,572.42, 538,844.64 and 264,053.44 is: 395,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,572.42 : 538,844.64 = 264,053.44 : x
  2. Step 2: Convert to fraction form
    359,572.42/538,844.64 = 264,053.44/x
  3. Step 3: Cross multiply
    359,572.42x = 538,844.64 × 264,053.44
  4. Step 4: Simplify right side
    359,572.42x = 142,283,780,817.56
  5. Step 5: Solve for x
    x = 142,283,780,817.56/359,572.42
  6. Step 6: Final answer
    x = 395,702.71

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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.