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Finding the Fourth Proportional to 415,708.48, 623,563.24 and 100,165.38

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Solution

The fourth proportional to 415,708.48, 623,563.24 and 100,165.38 is: 150,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.48 : 623,563.24 = 100,165.38 : x
  2. Step 2: Convert to fraction form
    415,708.48/623,563.24 = 100,165.38/x
  3. Step 3: Cross multiply
    415,708.48x = 623,563.24 × 100,165.38
  4. Step 4: Simplify right side
    415,708.48x = 62,459,448,888.63
  5. Step 5: Solve for x
    x = 62,459,448,888.63/415,708.48
  6. Step 6: Final answer
    x = 150,248.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.