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Finding the Fourth Proportional to 359,699.14, 539,548.34 and 106,978.60

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Solution

The fourth proportional to 359,699.14, 539,548.34 and 106,978.60 is: 160,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,699.14 : 539,548.34 = 106,978.60 : x
  2. Step 2: Convert to fraction form
    359,699.14/539,548.34 = 106,978.60/x
  3. Step 3: Cross multiply
    359,699.14x = 539,548.34 × 106,978.60
  4. Step 4: Simplify right side
    359,699.14x = 57,720,126,045.52
  5. Step 5: Solve for x
    x = 57,720,126,045.52/359,699.14
  6. Step 6: Final answer
    x = 160,467.79

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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.