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Finding the Fourth Proportional to 317,830.68, 476,738.64 and 160,016.76

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Solution

The fourth proportional to 317,830.68, 476,738.64 and 160,016.76 is: 240,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,830.68 : 476,738.64 = 160,016.76 : x
  2. Step 2: Convert to fraction form
    317,830.68/476,738.64 = 160,016.76/x
  3. Step 3: Cross multiply
    317,830.68x = 476,738.64 × 160,016.76
  4. Step 4: Simplify right side
    317,830.68x = 76,286,172,539.61
  5. Step 5: Solve for x
    x = 76,286,172,539.61/317,830.68
  6. Step 6: Final answer
    x = 240,021.42

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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.