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Finding the Fourth Proportional to 317,892.24, 476,838.66 and 199,646.64

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Solution

The fourth proportional to 317,892.24, 476,838.66 and 199,646.64 is: 299,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,892.24 : 476,838.66 = 199,646.64 : x
  2. Step 2: Convert to fraction form
    317,892.24/476,838.66 = 199,646.64/x
  3. Step 3: Cross multiply
    317,892.24x = 476,838.66 × 199,646.64
  4. Step 4: Simplify right side
    317,892.24x = 95,199,236,291.10
  5. Step 5: Solve for x
    x = 95,199,236,291.10/317,892.24
  6. Step 6: Final answer
    x = 299,470.15

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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.