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Finding the Fourth Proportional to 461,162.84, 687,159.69 and 410,856.37

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Solution

The fourth proportional to 461,162.84, 687,159.69 and 410,856.37 is: 612,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,162.84 : 687,159.69 = 410,856.37 : x
  2. Step 2: Convert to fraction form
    461,162.84/687,159.69 = 410,856.37/x
  3. Step 3: Cross multiply
    461,162.84x = 687,159.69 × 410,856.37
  4. Step 4: Simplify right side
    461,162.84x = 282,323,932,585.12
  5. Step 5: Solve for x
    x = 282,323,932,585.12/461,162.84
  6. Step 6: Final answer
    x = 612,200.10

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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.