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Finding the Fourth Proportional to 582,106.96, 873,304.60 and 278,731.95

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Solution

The fourth proportional to 582,106.96, 873,304.60 and 278,731.95 is: 418,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,106.96 : 873,304.60 = 278,731.95 : x
  2. Step 2: Convert to fraction form
    582,106.96/873,304.60 = 278,731.95/x
  3. Step 3: Cross multiply
    582,106.96x = 873,304.60 × 278,731.95
  4. Step 4: Simplify right side
    582,106.96x = 243,417,896,476.42
  5. Step 5: Solve for x
    x = 243,417,896,476.42/582,106.96
  6. Step 6: Final answer
    x = 418,166.96

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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.