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Finding the Fourth Proportional to 317,643.30, 477,129.24 and 267,820.74

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Solution

The fourth proportional to 317,643.30, 477,129.24 and 267,820.74 is: 402,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,643.30 : 477,129.24 = 267,820.74 : x
  2. Step 2: Convert to fraction form
    317,643.30/477,129.24 = 267,820.74/x
  3. Step 3: Cross multiply
    317,643.30x = 477,129.24 × 267,820.74
  4. Step 4: Simplify right side
    317,643.30x = 127,785,106,132.44
  5. Step 5: Solve for x
    x = 127,785,106,132.44/317,643.30
  6. Step 6: Final answer
    x = 402,291.21

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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.