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Finding the Fourth Proportional to 349,800.26, 482,724.29 and 198,897.26

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Solution

The fourth proportional to 349,800.26, 482,724.29 and 198,897.26 is: 274,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,800.26 : 482,724.29 = 198,897.26 : x
  2. Step 2: Convert to fraction form
    349,800.26/482,724.29 = 198,897.26/x
  3. Step 3: Cross multiply
    349,800.26x = 482,724.29 × 198,897.26
  4. Step 4: Simplify right side
    349,800.26x = 96,012,536,700.07
  5. Step 5: Solve for x
    x = 96,012,536,700.07/349,800.26
  6. Step 6: Final answer
    x = 274,478.18

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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.