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Finding the Fourth Proportional to 582,796.41, 873,973.16 and 278,878.58

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Solution

The fourth proportional to 582,796.41, 873,973.16 and 278,878.58 is: 418,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,796.41 : 873,973.16 = 278,878.58 : x
  2. Step 2: Convert to fraction form
    582,796.41/873,973.16 = 278,878.58/x
  3. Step 3: Cross multiply
    582,796.41x = 873,973.16 × 278,878.58
  4. Step 4: Simplify right side
    582,796.41x = 243,732,393,818.91
  5. Step 5: Solve for x
    x = 243,732,393,818.91/582,796.41
  6. Step 6: Final answer
    x = 418,211.90

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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.