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Finding the Fourth Proportional to 272,952.46, 409,502.38 and 83,407.63

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Solution

The fourth proportional to 272,952.46, 409,502.38 and 83,407.63 is: 125,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,952.46 : 409,502.38 = 83,407.63 : x
  2. Step 2: Convert to fraction form
    272,952.46/409,502.38 = 83,407.63/x
  3. Step 3: Cross multiply
    272,952.46x = 409,502.38 × 83,407.63
  4. Step 4: Simplify right side
    272,952.46x = 34,155,622,995.16
  5. Step 5: Solve for x
    x = 34,155,622,995.16/272,952.46
  6. Step 6: Final answer
    x = 125,133.96

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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.