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Finding the Fourth Proportional to 409,548.10, 614,340.58 and 156,763.02

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Solution

The fourth proportional to 409,548.10, 614,340.58 and 156,763.02 is: 235,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,548.10 : 614,340.58 = 156,763.02 : x
  2. Step 2: Convert to fraction form
    409,548.10/614,340.58 = 156,763.02/x
  3. Step 3: Cross multiply
    409,548.10x = 614,340.58 × 156,763.02
  4. Step 4: Simplify right side
    409,548.10x = 96,305,884,629.35
  5. Step 5: Solve for x
    x = 96,305,884,629.35/409,548.10
  6. Step 6: Final answer
    x = 235,151.59

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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.