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Finding the Fourth Proportional to 461,180.97, 687,186.66 and 410,874.51

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Solution

The fourth proportional to 461,180.97, 687,186.66 and 410,874.51 is: 612,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,180.97 : 687,186.66 = 410,874.51 : x
  2. Step 2: Convert to fraction form
    461,180.97/687,186.66 = 410,874.51/x
  3. Step 3: Cross multiply
    461,180.97x = 687,186.66 × 410,874.51
  4. Step 4: Simplify right side
    461,180.97x = 282,347,482,206.04
  5. Step 5: Solve for x
    x = 282,347,482,206.04/461,180.97
  6. Step 6: Final answer
    x = 612,227.09

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.