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Finding the Fourth Proportional to 298,597.95, 447,894.13 and 121,062.75

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Solution

The fourth proportional to 298,597.95, 447,894.13 and 121,062.75 is: 181,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,597.95 : 447,894.13 = 121,062.75 : x
  2. Step 2: Convert to fraction form
    298,597.95/447,894.13 = 121,062.75/x
  3. Step 3: Cross multiply
    298,597.95x = 447,894.13 × 121,062.75
  4. Step 4: Simplify right side
    298,597.95x = 54,223,295,086.66
  5. Step 5: Solve for x
    x = 54,223,295,086.66/298,597.95
  6. Step 6: Final answer
    x = 181,592.99

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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.