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Finding the Fourth Proportional to 409,962.48, 565,874.28 and 240,251.28

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Solution

The fourth proportional to 409,962.48, 565,874.28 and 240,251.28 is: 331,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,962.48 : 565,874.28 = 240,251.28 : x
  2. Step 2: Convert to fraction form
    409,962.48/565,874.28 = 240,251.28/x
  3. Step 3: Cross multiply
    409,962.48x = 565,874.28 × 240,251.28
  4. Step 4: Simplify right side
    409,962.48x = 135,952,020,089.08
  5. Step 5: Solve for x
    x = 135,952,020,089.08/409,962.48
  6. Step 6: Final answer
    x = 331,620.64

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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.