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Finding the Fourth Proportional to 582,158.52, 803,377.56 and 327,510

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Solution

The fourth proportional to 582,158.52, 803,377.56 and 327,510 is: 451,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,158.52 : 803,377.56 = 327,510 : x
  2. Step 2: Convert to fraction form
    582,158.52/803,377.56 = 327,510/x
  3. Step 3: Cross multiply
    582,158.52x = 803,377.56 × 327,510
  4. Step 4: Simplify right side
    582,158.52x = 263,114,184,675.60
  5. Step 5: Solve for x
    x = 263,114,184,675.60/582,158.52
  6. Step 6: Final answer
    x = 451,963.13

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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.