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Finding the Fourth Proportional to 354,717.67, 532,263.34 and 205,063.07

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Solution

The fourth proportional to 354,717.67, 532,263.34 and 205,063.07 is: 307,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,717.67 : 532,263.34 = 205,063.07 : x
  2. Step 2: Convert to fraction form
    354,717.67/532,263.34 = 205,063.07/x
  3. Step 3: Cross multiply
    354,717.67x = 532,263.34 × 205,063.07
  4. Step 4: Simplify right side
    354,717.67x = 109,147,552,878.58
  5. Step 5: Solve for x
    x = 109,147,552,878.58/354,717.67
  6. Step 6: Final answer
    x = 307,702.61

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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.