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Finding the Fourth Proportional to 329,049.61, 493,512.14 and 160,400.53

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Solution

The fourth proportional to 329,049.61, 493,512.14 and 160,400.53 is: 240,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,049.61 : 493,512.14 = 160,400.53 : x
  2. Step 2: Convert to fraction form
    329,049.61/493,512.14 = 160,400.53/x
  3. Step 3: Cross multiply
    329,049.61x = 493,512.14 × 160,400.53
  4. Step 4: Simplify right side
    329,049.61x = 79,159,608,015.43
  5. Step 5: Solve for x
    x = 79,159,608,015.43/329,049.61
  6. Step 6: Final answer
    x = 240,570.44

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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.