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Finding the Fourth Proportional to 298,263.28, 411,610.18 and 169,210.40

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Solution

The fourth proportional to 298,263.28, 411,610.18 and 169,210.40 is: 233,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263.28 : 411,610.18 = 169,210.40 : x
  2. Step 2: Convert to fraction form
    298,263.28/411,610.18 = 169,210.40/x
  3. Step 3: Cross multiply
    298,263.28x = 411,610.18 × 169,210.40
  4. Step 4: Simplify right side
    298,263.28x = 69,648,723,201.87
  5. Step 5: Solve for x
    x = 69,648,723,201.87/298,263.28
  6. Step 6: Final answer
    x = 233,514.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.