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Finding the Fourth Proportional to 586,810.80, 880,216.20 and 271,882.80

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Solution

The fourth proportional to 586,810.80, 880,216.20 and 271,882.80 is: 407,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,810.80 : 880,216.20 = 271,882.80 : x
  2. Step 2: Convert to fraction form
    586,810.80/880,216.20 = 271,882.80/x
  3. Step 3: Cross multiply
    586,810.80x = 880,216.20 × 271,882.80
  4. Step 4: Simplify right side
    586,810.80x = 239,315,645,061.36
  5. Step 5: Solve for x
    x = 239,315,645,061.36/586,810.80
  6. Step 6: Final answer
    x = 407,824.20

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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.