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Finding the Fourth Proportional to 582,515.40, 873,897.84 and 329,915.28

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Solution

The fourth proportional to 582,515.40, 873,897.84 and 329,915.28 is: 494,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,515.40 : 873,897.84 = 329,915.28 : x
  2. Step 2: Convert to fraction form
    582,515.40/873,897.84 = 329,915.28/x
  3. Step 3: Cross multiply
    582,515.40x = 873,897.84 × 329,915.28
  4. Step 4: Simplify right side
    582,515.40x = 288,312,250,575.00
  5. Step 5: Solve for x
    x = 288,312,250,575.00/582,515.40
  6. Step 6: Final answer
    x = 494,943.57

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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.