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Finding the Fourth Proportional to 375,967.16, 564,098.46 and 165,457.52

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Solution

The fourth proportional to 375,967.16, 564,098.46 and 165,457.52 is: 248,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,967.16 : 564,098.46 = 165,457.52 : x
  2. Step 2: Convert to fraction form
    375,967.16/564,098.46 = 165,457.52/x
  3. Step 3: Cross multiply
    375,967.16x = 564,098.46 × 165,457.52
  4. Step 4: Simplify right side
    375,967.16x = 93,334,332,227.42
  5. Step 5: Solve for x
    x = 93,334,332,227.42/375,967.16
  6. Step 6: Final answer
    x = 248,251.29

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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.