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Finding the Fourth Proportional to 317,274.84, 475,956 and 106,972.92

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Solution

The fourth proportional to 317,274.84, 475,956 and 106,972.92 is: 160,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,274.84 : 475,956 = 106,972.92 : x
  2. Step 2: Convert to fraction form
    317,274.84/475,956 = 106,972.92/x
  3. Step 3: Cross multiply
    317,274.84x = 475,956 × 106,972.92
  4. Step 4: Simplify right side
    317,274.84x = 50,914,403,111.52
  5. Step 5: Solve for x
    x = 50,914,403,111.52/317,274.84
  6. Step 6: Final answer
    x = 160,474.13

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1.5x scale

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.