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Finding the Fourth Proportional to 359,548.10, 538,808.13 and 264,028.85

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Solution

The fourth proportional to 359,548.10, 538,808.13 and 264,028.85 is: 395,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,548.10 : 538,808.13 = 264,028.85 : x
  2. Step 2: Convert to fraction form
    359,548.10/538,808.13 = 264,028.85/x
  3. Step 3: Cross multiply
    359,548.10x = 538,808.13 × 264,028.85
  4. Step 4: Simplify right side
    359,548.10x = 142,260,890,934.55
  5. Step 5: Solve for x
    x = 142,260,890,934.55/359,548.10
  6. Step 6: Final answer
    x = 395,665.81

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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.