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Finding the Fourth Proportional to 298,034.10, 447,051.15 and 98,385.30

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Solution

The fourth proportional to 298,034.10, 447,051.15 and 98,385.30 is: 147,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.10 : 447,051.15 = 98,385.30 : x
  2. Step 2: Convert to fraction form
    298,034.10/447,051.15 = 98,385.30/x
  3. Step 3: Cross multiply
    298,034.10x = 447,051.15 × 98,385.30
  4. Step 4: Simplify right side
    298,034.10x = 43,983,261,508.10
  5. Step 5: Solve for x
    x = 43,983,261,508.10/298,034.10
  6. Step 6: Final answer
    x = 147,577.95

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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.