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Finding the Fourth Proportional to 362,005.16, 499,559.48 and 200,856.74

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Solution

The fourth proportional to 362,005.16, 499,559.48 and 200,856.74 is: 277,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,005.16 : 499,559.48 = 200,856.74 : x
  2. Step 2: Convert to fraction form
    362,005.16/499,559.48 = 200,856.74/x
  3. Step 3: Cross multiply
    362,005.16x = 499,559.48 × 200,856.74
  4. Step 4: Simplify right side
    362,005.16x = 100,339,888,588.90
  5. Step 5: Solve for x
    x = 100,339,888,588.90/362,005.16
  6. Step 6: Final answer
    x = 277,178.06

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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.