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Finding the Fourth Proportional to 317,950.16, 476,995.31 and 176,002.48

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Solution

The fourth proportional to 317,950.16, 476,995.31 and 176,002.48 is: 264,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,950.16 : 476,995.31 = 176,002.48 : x
  2. Step 2: Convert to fraction form
    317,950.16/476,995.31 = 176,002.48/x
  3. Step 3: Cross multiply
    317,950.16x = 476,995.31 × 176,002.48
  4. Step 4: Simplify right side
    317,950.16x = 83,952,355,435.87
  5. Step 5: Solve for x
    x = 83,952,355,435.87/317,950.16
  6. Step 6: Final answer
    x = 264,042.51

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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.