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Finding the Fourth Proportional to 298,839.95, 412,387.13 and 162,870.98

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Solution

The fourth proportional to 298,839.95, 412,387.13 and 162,870.98 is: 224,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,839.95 : 412,387.13 = 162,870.98 : x
  2. Step 2: Convert to fraction form
    298,839.95/412,387.13 = 162,870.98/x
  3. Step 3: Cross multiply
    298,839.95x = 412,387.13 × 162,870.98
  4. Step 4: Simplify right side
    298,839.95x = 67,165,893,126.20
  5. Step 5: Solve for x
    x = 67,165,893,126.20/298,839.95
  6. Step 6: Final answer
    x = 224,755.41

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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.