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Finding the Fourth Proportional to 298,403.70, 447,610.29 and 166,124.70

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Solution

The fourth proportional to 298,403.70, 447,610.29 and 166,124.70 is: 249,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,403.70 : 447,610.29 = 166,124.70 : x
  2. Step 2: Convert to fraction form
    298,403.70/447,610.29 = 166,124.70/x
  3. Step 3: Cross multiply
    298,403.70x = 447,610.29 × 166,124.70
  4. Step 4: Simplify right side
    298,403.70x = 74,359,125,143.16
  5. Step 5: Solve for x
    x = 74,359,125,143.16/298,403.70
  6. Step 6: Final answer
    x = 249,189.69

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1.5x scale

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.