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Finding the Fourth Proportional to 415,314.14, 623,023.11 and 162,562.01

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Solution

The fourth proportional to 415,314.14, 623,023.11 and 162,562.01 is: 243,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,314.14 : 623,023.11 = 162,562.01 : x
  2. Step 2: Convert to fraction form
    415,314.14/623,023.11 = 162,562.01/x
  3. Step 3: Cross multiply
    415,314.14x = 623,023.11 × 162,562.01
  4. Step 4: Simplify right side
    415,314.14x = 101,279,885,922.94
  5. Step 5: Solve for x
    x = 101,279,885,922.94/415,314.14
  6. Step 6: Final answer
    x = 243,863.33

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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.