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Finding the Fourth Proportional to 317,097.72, 475,655.24 and 92,452.74

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Solution

The fourth proportional to 317,097.72, 475,655.24 and 92,452.74 is: 138,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,097.72 : 475,655.24 = 92,452.74 : x
  2. Step 2: Convert to fraction form
    317,097.72/475,655.24 = 92,452.74/x
  3. Step 3: Cross multiply
    317,097.72x = 475,655.24 × 92,452.74
  4. Step 4: Simplify right side
    317,097.72x = 43,975,630,233.36
  5. Step 5: Solve for x
    x = 43,975,630,233.36/317,097.72
  6. Step 6: Final answer
    x = 138,681.63

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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.