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Finding the Fourth Proportional to 317,038, 475,221.84 and 117,230.08

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Solution

The fourth proportional to 317,038, 475,221.84 and 117,230.08 is: 175,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,038 : 475,221.84 = 117,230.08 : x
  2. Step 2: Convert to fraction form
    317,038/475,221.84 = 117,230.08/x
  3. Step 3: Cross multiply
    317,038x = 475,221.84 × 117,230.08
  4. Step 4: Simplify right side
    317,038x = 55,710,294,320.95
  5. Step 5: Solve for x
    x = 55,710,294,320.95/317,038
  6. Step 6: Final answer
    x = 175,721.19

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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.