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Finding the Fourth Proportional to 296,540.79, 409,210.95 and 174,016.14

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Solution

The fourth proportional to 296,540.79, 409,210.95 and 174,016.14 is: 240,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,540.79 : 409,210.95 = 174,016.14 : x
  2. Step 2: Convert to fraction form
    296,540.79/409,210.95 = 174,016.14/x
  3. Step 3: Cross multiply
    296,540.79x = 409,210.95 × 174,016.14
  4. Step 4: Simplify right side
    296,540.79x = 71,209,309,964.73
  5. Step 5: Solve for x
    x = 71,209,309,964.73/296,540.79
  6. Step 6: Final answer
    x = 240,133.27

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1.5x scale

Why These Related Problems?

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