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Finding the Fourth Proportional to 410,818.80, 566,626.68 and 259,770

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Solution

The fourth proportional to 410,818.80, 566,626.68 and 259,770 is: 358,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,818.80 : 566,626.68 = 259,770 : x
  2. Step 2: Convert to fraction form
    410,818.80/566,626.68 = 259,770/x
  3. Step 3: Cross multiply
    410,818.80x = 566,626.68 × 259,770
  4. Step 4: Simplify right side
    410,818.80x = 147,192,612,663.60
  5. Step 5: Solve for x
    x = 147,192,612,663.60/410,818.80
  6. Step 6: Final answer
    x = 358,290.84

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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.