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Finding the Fourth Proportional to 649,873.13, 974,434.47 and 200,473.34

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Solution

The fourth proportional to 649,873.13, 974,434.47 and 200,473.34 is: 300,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,873.13 : 974,434.47 = 200,473.34 : x
  2. Step 2: Convert to fraction form
    649,873.13/974,434.47 = 200,473.34/x
  3. Step 3: Cross multiply
    649,873.13x = 974,434.47 × 200,473.34
  4. Step 4: Simplify right side
    649,873.13x = 195,348,132,812.03
  5. Step 5: Solve for x
    x = 195,348,132,812.03/649,873.13
  6. Step 6: Final answer
    x = 300,594.26

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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.