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Finding the Fourth Proportional to 359,832.64, 540,078.24 and 182,462.08

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Solution

The fourth proportional to 359,832.64, 540,078.24 and 182,462.08 is: 273,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,832.64 : 540,078.24 = 182,462.08 : x
  2. Step 2: Convert to fraction form
    359,832.64/540,078.24 = 182,462.08/x
  3. Step 3: Cross multiply
    359,832.64x = 540,078.24 × 182,462.08
  4. Step 4: Simplify right side
    359,832.64x = 98,543,799,033.14
  5. Step 5: Solve for x
    x = 98,543,799,033.14/359,832.64
  6. Step 6: Final answer
    x = 273,860.09

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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.