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Finding the Fourth Proportional to 582,378.59, 803,680.80 and 327,729.78

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Solution

The fourth proportional to 582,378.59, 803,680.80 and 327,729.78 is: 452,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,378.59 : 803,680.80 = 327,729.78 : x
  2. Step 2: Convert to fraction form
    582,378.59/803,680.80 = 327,729.78/x
  3. Step 3: Cross multiply
    582,378.59x = 803,680.80 × 327,729.78
  4. Step 4: Simplify right side
    582,378.59x = 263,390,131,774.22
  5. Step 5: Solve for x
    x = 263,390,131,774.22/582,378.59
  6. Step 6: Final answer
    x = 452,266.17

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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.