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Finding the Fourth Proportional to 298,588.52, 447,945.96 and 98,897.60

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Solution

The fourth proportional to 298,588.52, 447,945.96 and 98,897.60 is: 148,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,588.52 : 447,945.96 = 98,897.60 : x
  2. Step 2: Convert to fraction form
    298,588.52/447,945.96 = 98,897.60/x
  3. Step 3: Cross multiply
    298,588.52x = 447,945.96 × 98,897.60
  4. Step 4: Simplify right side
    298,588.52x = 44,300,780,373.70
  5. Step 5: Solve for x
    x = 44,300,780,373.70/298,588.52
  6. Step 6: Final answer
    x = 148,367.33

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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.