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Finding the Fourth Proportional to 649,546.40, 974,146.80 and 200,266.40

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Solution

The fourth proportional to 649,546.40, 974,146.80 and 200,266.40 is: 300,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,546.40 : 974,146.80 = 200,266.40 : x
  2. Step 2: Convert to fraction form
    649,546.40/974,146.80 = 200,266.40/x
  3. Step 3: Cross multiply
    649,546.40x = 974,146.80 × 200,266.40
  4. Step 4: Simplify right side
    649,546.40x = 195,088,872,707.52
  5. Step 5: Solve for x
    x = 195,088,872,707.52/649,546.40
  6. Step 6: Final answer
    x = 300,346.32

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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.