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Finding the Fourth Proportional to 461,177.97, 687,182.19 and 410,871.51

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Solution

The fourth proportional to 461,177.97, 687,182.19 and 410,871.51 is: 612,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,177.97 : 687,182.19 = 410,871.51 : x
  2. Step 2: Convert to fraction form
    461,177.97/687,182.19 = 410,871.51/x
  3. Step 3: Cross multiply
    461,177.97x = 687,182.19 × 410,871.51
  4. Step 4: Simplify right side
    461,177.97x = 282,343,584,050.41
  5. Step 5: Solve for x
    x = 282,343,584,050.41/461,177.97
  6. Step 6: Final answer
    x = 612,222.62

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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.