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Finding the Fourth Proportional to 532,814.54, 798,532.89 and 398,642.09

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Solution

The fourth proportional to 532,814.54, 798,532.89 and 398,642.09 is: 597,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,814.54 : 798,532.89 = 398,642.09 : x
  2. Step 2: Convert to fraction form
    532,814.54/798,532.89 = 398,642.09/x
  3. Step 3: Cross multiply
    532,814.54x = 798,532.89 × 398,642.09
  4. Step 4: Simplify right side
    532,814.54x = 318,328,816,210.68
  5. Step 5: Solve for x
    x = 318,328,816,210.68/532,814.54
  6. Step 6: Final answer
    x = 597,447.70

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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.