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Finding the Fourth Proportional to 298,475.60, 447,713.40 and 98,826.80

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Solution

The fourth proportional to 298,475.60, 447,713.40 and 98,826.80 is: 148,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,475.60 : 447,713.40 = 98,826.80 : x
  2. Step 2: Convert to fraction form
    298,475.60/447,713.40 = 98,826.80/x
  3. Step 3: Cross multiply
    298,475.60x = 447,713.40 × 98,826.80
  4. Step 4: Simplify right side
    298,475.60x = 44,246,082,639.12
  5. Step 5: Solve for x
    x = 44,246,082,639.12/298,475.60
  6. Step 6: Final answer
    x = 148,240.20

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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.