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Finding the Fourth Proportional to 537,547.80, 741,816.09 and 295,830.30

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Solution

The fourth proportional to 537,547.80, 741,816.09 and 295,830.30 is: 408,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,547.80 : 741,816.09 = 295,830.30 : x
  2. Step 2: Convert to fraction form
    537,547.80/741,816.09 = 295,830.30/x
  3. Step 3: Cross multiply
    537,547.80x = 741,816.09 × 295,830.30
  4. Step 4: Simplify right side
    537,547.80x = 219,451,676,449.53
  5. Step 5: Solve for x
    x = 219,451,676,449.53/537,547.80
  6. Step 6: Final answer
    x = 408,245.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.