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Finding the Fourth Proportional to 645,471.40, 968,207.10 and 329,823.40

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Solution

The fourth proportional to 645,471.40, 968,207.10 and 329,823.40 is: 494,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,471.40 : 968,207.10 = 329,823.40 : x
  2. Step 2: Convert to fraction form
    645,471.40/968,207.10 = 329,823.40/x
  3. Step 3: Cross multiply
    645,471.40x = 968,207.10 × 329,823.40
  4. Step 4: Simplify right side
    645,471.40x = 319,337,357,626.14
  5. Step 5: Solve for x
    x = 319,337,357,626.14/645,471.40
  6. Step 6: Final answer
    x = 494,735.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.