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Finding the Fourth Proportional to 424,002.42, 585,159.24 and 288,337.32

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Solution

The fourth proportional to 424,002.42, 585,159.24 and 288,337.32 is: 397,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,002.42 : 585,159.24 = 288,337.32 : x
  2. Step 2: Convert to fraction form
    424,002.42/585,159.24 = 288,337.32/x
  3. Step 3: Cross multiply
    424,002.42x = 585,159.24 × 288,337.32
  4. Step 4: Simplify right side
    424,002.42x = 168,723,247,034.84
  5. Step 5: Solve for x
    x = 168,723,247,034.84/424,002.42
  6. Step 6: Final answer
    x = 397,929.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.