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Finding the Fourth Proportional to 305,244.74, 457,870.97 and 115,654.20

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Solution

The fourth proportional to 305,244.74, 457,870.97 and 115,654.20 is: 173,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,244.74 : 457,870.97 = 115,654.20 : x
  2. Step 2: Convert to fraction form
    305,244.74/457,870.97 = 115,654.20/x
  3. Step 3: Cross multiply
    305,244.74x = 457,870.97 × 115,654.20
  4. Step 4: Simplify right side
    305,244.74x = 52,954,700,561.13
  5. Step 5: Solve for x
    x = 52,954,700,561.13/305,244.74
  6. Step 6: Final answer
    x = 173,482.76

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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.