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Finding the Fourth Proportional to 317,700.87, 476,551.47 and 199,455.24

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Solution

The fourth proportional to 317,700.87, 476,551.47 and 199,455.24 is: 299,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,700.87 : 476,551.47 = 199,455.24 : x
  2. Step 2: Convert to fraction form
    317,700.87/476,551.47 = 199,455.24/x
  3. Step 3: Cross multiply
    317,700.87x = 476,551.47 × 199,455.24
  4. Step 4: Simplify right side
    317,700.87x = 95,050,686,823.93
  5. Step 5: Solve for x
    x = 95,050,686,823.93/317,700.87
  6. Step 6: Final answer
    x = 299,182.97

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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.