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Finding the Fourth Proportional to 289,780.47, 399,549.51 and 187,768.70

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Solution

The fourth proportional to 289,780.47, 399,549.51 and 187,768.70 is: 258,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780.47 : 399,549.51 = 187,768.70 : x
  2. Step 2: Convert to fraction form
    289,780.47/399,549.51 = 187,768.70/x
  3. Step 3: Cross multiply
    289,780.47x = 399,549.51 × 187,768.70
  4. Step 4: Simplify right side
    289,780.47x = 75,022,891,578.90
  5. Step 5: Solve for x
    x = 75,022,891,578.90/289,780.47
  6. Step 6: Final answer
    x = 258,895.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.