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Finding the Fourth Proportional to 733,657.68, 1,012,443.72 and 411,367.44

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Solution

The fourth proportional to 733,657.68, 1,012,443.72 and 411,367.44 is: 567,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,657.68 : 1,012,443.72 = 411,367.44 : x
  2. Step 2: Convert to fraction form
    733,657.68/1,012,443.72 = 411,367.44/x
  3. Step 3: Cross multiply
    733,657.68x = 1,012,443.72 × 411,367.44
  4. Step 4: Simplify right side
    733,657.68x = 416,486,381,240.48
  5. Step 5: Solve for x
    x = 416,486,381,240.48/733,657.68
  6. Step 6: Final answer
    x = 567,684.89

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Double scale
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1.5x scale

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.