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Finding the Fourth Proportional to 398,696.61, 598,047.07 and 99,177.19

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Solution

The fourth proportional to 398,696.61, 598,047.07 and 99,177.19 is: 148,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,696.61 : 598,047.07 = 99,177.19 : x
  2. Step 2: Convert to fraction form
    398,696.61/598,047.07 = 99,177.19/x
  3. Step 3: Cross multiply
    398,696.61x = 598,047.07 × 99,177.19
  4. Step 4: Simplify right side
    398,696.61x = 59,312,627,890.33
  5. Step 5: Solve for x
    x = 59,312,627,890.33/398,696.61
  6. Step 6: Final answer
    x = 148,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.