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Finding the Fourth Proportional to 415,263.20, 622,862.40 and 162,494.60

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Solution

The fourth proportional to 415,263.20, 622,862.40 and 162,494.60 is: 243,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,263.20 : 622,862.40 = 162,494.60 : x
  2. Step 2: Convert to fraction form
    415,263.20/622,862.40 = 162,494.60/x
  3. Step 3: Cross multiply
    415,263.20x = 622,862.40 × 162,494.60
  4. Step 4: Simplify right side
    415,263.20x = 101,211,776,543.04
  5. Step 5: Solve for x
    x = 101,211,776,543.04/415,263.20
  6. Step 6: Final answer
    x = 243,729.22

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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.