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Finding the Fourth Proportional to 298,694.60, 448,032.30 and 99,024.20

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Solution

The fourth proportional to 298,694.60, 448,032.30 and 99,024.20 is: 148,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,694.60 : 448,032.30 = 99,024.20 : x
  2. Step 2: Convert to fraction form
    298,694.60/448,032.30 = 99,024.20/x
  3. Step 3: Cross multiply
    298,694.60x = 448,032.30 × 99,024.20
  4. Step 4: Simplify right side
    298,694.60x = 44,366,040,081.66
  5. Step 5: Solve for x
    x = 44,366,040,081.66/298,694.60
  6. Step 6: Final answer
    x = 148,533.12

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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.