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Finding the Fourth Proportional to 356,165.17, 534,264.17 and 198,274.71

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Solution

The fourth proportional to 356,165.17, 534,264.17 and 198,274.71 is: 297,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,165.17 : 534,264.17 = 198,274.71 : x
  2. Step 2: Convert to fraction form
    356,165.17/534,264.17 = 198,274.71/x
  3. Step 3: Cross multiply
    356,165.17x = 534,264.17 × 198,274.71
  4. Step 4: Simplify right side
    356,165.17x = 105,931,073,370.14
  5. Step 5: Solve for x
    x = 105,931,073,370.14/356,165.17
  6. Step 6: Final answer
    x = 297,421.20

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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.