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Finding the Fourth Proportional to 354,718.44, 532,264.49 and 205,063.84

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Solution

The fourth proportional to 354,718.44, 532,264.49 and 205,063.84 is: 307,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,718.44 : 532,264.49 = 205,063.84 : x
  2. Step 2: Convert to fraction form
    354,718.44/532,264.49 = 205,063.84/x
  3. Step 3: Cross multiply
    354,718.44x = 532,264.49 × 205,063.84
  4. Step 4: Simplify right side
    354,718.44x = 109,148,199,397.04
  5. Step 5: Solve for x
    x = 109,148,199,397.04/354,718.44
  6. Step 6: Final answer
    x = 307,703.76

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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.