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Finding the Fourth Proportional to 649,534.40, 974,301.60 and 413,921.60

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Solution

The fourth proportional to 649,534.40, 974,301.60 and 413,921.60 is: 620,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,534.40 : 974,301.60 = 413,921.60 : x
  2. Step 2: Convert to fraction form
    649,534.40/974,301.60 = 413,921.60/x
  3. Step 3: Cross multiply
    649,534.40x = 974,301.60 × 413,921.60
  4. Step 4: Simplify right side
    649,534.40x = 403,284,477,154.56
  5. Step 5: Solve for x
    x = 403,284,477,154.56/649,534.40
  6. Step 6: Final answer
    x = 620,882.40

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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.