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Finding the Fourth Proportional to 317,700.36, 476,550.72 and 199,454.74

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Solution

The fourth proportional to 317,700.36, 476,550.72 and 199,454.74 is: 299,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,700.36 : 476,550.72 = 199,454.74 : x
  2. Step 2: Convert to fraction form
    317,700.36/476,550.72 = 199,454.74/x
  3. Step 3: Cross multiply
    317,700.36x = 476,550.72 × 199,454.74
  4. Step 4: Simplify right side
    317,700.36x = 95,050,300,212.52
  5. Step 5: Solve for x
    x = 95,050,300,212.52/317,700.36
  6. Step 6: Final answer
    x = 299,182.22

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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.