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Finding the Fourth Proportional to 362,091.18, 499,686.10 and 200,946.32

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Solution

The fourth proportional to 362,091.18, 499,686.10 and 200,946.32 is: 277,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,091.18 : 499,686.10 = 200,946.32 : x
  2. Step 2: Convert to fraction form
    362,091.18/499,686.10 = 200,946.32/x
  3. Step 3: Cross multiply
    362,091.18x = 499,686.10 × 200,946.32
  4. Step 4: Simplify right side
    362,091.18x = 100,410,082,950.15
  5. Step 5: Solve for x
    x = 100,410,082,950.15/362,091.18
  6. Step 6: Final answer
    x = 277,306.07

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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.