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Finding the Fourth Proportional to 359,819.80, 537,464.16 and 264,204.16

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Solution

The fourth proportional to 359,819.80, 537,464.16 and 264,204.16 is: 394,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,819.80 : 537,464.16 = 264,204.16 : x
  2. Step 2: Convert to fraction form
    359,819.80/537,464.16 = 264,204.16/x
  3. Step 3: Cross multiply
    359,819.80x = 537,464.16 × 264,204.16
  4. Step 4: Simplify right side
    359,819.80x = 142,000,266,922.91
  5. Step 5: Solve for x
    x = 142,000,266,922.91/359,819.80
  6. Step 6: Final answer
    x = 394,642.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.