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Finding the Fourth Proportional to 582,077.53, 873,116.52 and 261,855.36

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Solution

The fourth proportional to 582,077.53, 873,116.52 and 261,855.36 is: 392,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,077.53 : 873,116.52 = 261,855.36 : x
  2. Step 2: Convert to fraction form
    582,077.53/873,116.52 = 261,855.36/x
  3. Step 3: Cross multiply
    582,077.53x = 873,116.52 × 261,855.36
  4. Step 4: Simplify right side
    582,077.53x = 228,630,240,666.55
  5. Step 5: Solve for x
    x = 228,630,240,666.55/582,077.53
  6. Step 6: Final answer
    x = 392,783.14

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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.