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Finding the Fourth Proportional to 317,053.92, 475,643.04 and 117,375.84

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Solution

The fourth proportional to 317,053.92, 475,643.04 and 117,375.84 is: 176,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,053.92 : 475,643.04 = 117,375.84 : x
  2. Step 2: Convert to fraction form
    317,053.92/475,643.04 = 117,375.84/x
  3. Step 3: Cross multiply
    317,053.92x = 475,643.04 × 117,375.84
  4. Step 4: Simplify right side
    317,053.92x = 55,829,001,360.15
  5. Step 5: Solve for x
    x = 55,829,001,360.15/317,053.92
  6. Step 6: Final answer
    x = 176,086.77

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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.