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Finding the Fourth Proportional to 649,786.40, 974,533.80 and 426,712.40

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Solution

The fourth proportional to 649,786.40, 974,533.80 and 426,712.40 is: 639,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,786.40 : 974,533.80 = 426,712.40 : x
  2. Step 2: Convert to fraction form
    649,786.40/974,533.80 = 426,712.40/x
  3. Step 3: Cross multiply
    649,786.40x = 974,533.80 × 426,712.40
  4. Step 4: Simplify right side
    649,786.40x = 415,845,656,679.12
  5. Step 5: Solve for x
    x = 415,845,656,679.12/649,786.40
  6. Step 6: Final answer
    x = 639,972.85

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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.