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Finding the Fourth Proportional to 297,894.64, 446,747.04 and 98,177.68

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Solution

The fourth proportional to 297,894.64, 446,747.04 and 98,177.68 is: 147,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,894.64 : 446,747.04 = 98,177.68 : x
  2. Step 2: Convert to fraction form
    297,894.64/446,747.04 = 98,177.68/x
  3. Step 3: Cross multiply
    297,894.64x = 446,747.04 × 98,177.68
  4. Step 4: Simplify right side
    297,894.64x = 43,860,587,934.07
  5. Step 5: Solve for x
    x = 43,860,587,934.07/297,894.64
  6. Step 6: Final answer
    x = 147,235.24

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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.