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Finding the Fourth Proportional to 298,444.86, 447,385.86 and 148,543.42

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Solution

The fourth proportional to 298,444.86, 447,385.86 and 148,543.42 is: 222,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,444.86 : 447,385.86 = 148,543.42 : x
  2. Step 2: Convert to fraction form
    298,444.86/447,385.86 = 148,543.42/x
  3. Step 3: Cross multiply
    298,444.86x = 447,385.86 × 148,543.42
  4. Step 4: Simplify right side
    298,444.86x = 66,456,225,704.04
  5. Step 5: Solve for x
    x = 66,456,225,704.04/298,444.86
  6. Step 6: Final answer
    x = 222,675.06

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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.