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Finding the Fourth Proportional to 362,807.49, 500,680.33 and 199,470.90

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Solution

The fourth proportional to 362,807.49, 500,680.33 and 199,470.90 is: 275,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,807.49 : 500,680.33 = 199,470.90 : x
  2. Step 2: Convert to fraction form
    362,807.49/500,680.33 = 199,470.90/x
  3. Step 3: Cross multiply
    362,807.49x = 500,680.33 × 199,470.90
  4. Step 4: Simplify right side
    362,807.49x = 99,871,156,037.40
  5. Step 5: Solve for x
    x = 99,871,156,037.40/362,807.49
  6. Step 6: Final answer
    x = 275,273.14

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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.