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Finding the Fourth Proportional to 415,707.98, 623,562.49 and 100,164.88

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Solution

The fourth proportional to 415,707.98, 623,562.49 and 100,164.88 is: 150,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,707.98 : 623,562.49 = 100,164.88 : x
  2. Step 2: Convert to fraction form
    415,707.98/623,562.49 = 100,164.88/x
  3. Step 3: Cross multiply
    415,707.98x = 623,562.49 × 100,164.88
  4. Step 4: Simplify right side
    415,707.98x = 62,459,060,174.03
  5. Step 5: Solve for x
    x = 62,459,060,174.03/415,707.98
  6. Step 6: Final answer
    x = 150,247.44

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1.5x scale

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.