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Finding the Fourth Proportional to 317,902, 476,854.08 and 96,286

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Solution

The fourth proportional to 317,902, 476,854.08 and 96,286 is: 144,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,902 : 476,854.08 = 96,286 : x
  2. Step 2: Convert to fraction form
    317,902/476,854.08 = 96,286/x
  3. Step 3: Cross multiply
    317,902x = 476,854.08 × 96,286
  4. Step 4: Simplify right side
    317,902x = 45,914,371,946.88
  5. Step 5: Solve for x
    x = 45,914,371,946.88/317,902
  6. Step 6: Final answer
    x = 144,429.33

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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.