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Finding the Fourth Proportional to 317,357.48, 476,037.85 and 106,997.24

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Solution

The fourth proportional to 317,357.48, 476,037.85 and 106,997.24 is: 160,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,357.48 : 476,037.85 = 106,997.24 : x
  2. Step 2: Convert to fraction form
    317,357.48/476,037.85 = 106,997.24/x
  3. Step 3: Cross multiply
    317,357.48x = 476,037.85 × 106,997.24
  4. Step 4: Simplify right side
    317,357.48x = 50,934,736,085.53
  5. Step 5: Solve for x
    x = 50,934,736,085.53/317,357.48
  6. Step 6: Final answer
    x = 160,496.41

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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.