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Finding the Fourth Proportional to 415,343.70, 622,983.15 and 162,575.10

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Solution

The fourth proportional to 415,343.70, 622,983.15 and 162,575.10 is: 243,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,343.70 : 622,983.15 = 162,575.10 : x
  2. Step 2: Convert to fraction form
    415,343.70/622,983.15 = 162,575.10/x
  3. Step 3: Cross multiply
    415,343.70x = 622,983.15 × 162,575.10
  4. Step 4: Simplify right side
    415,343.70x = 101,281,547,909.57
  5. Step 5: Solve for x
    x = 101,281,547,909.57/415,343.70
  6. Step 6: Final answer
    x = 243,849.97

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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.