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Finding the Fourth Proportional to 465,967.20, 697,900.40 and 326,348.96

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Solution

The fourth proportional to 465,967.20, 697,900.40 and 326,348.96 is: 488,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,967.20 : 697,900.40 = 326,348.96 : x
  2. Step 2: Convert to fraction form
    465,967.20/697,900.40 = 326,348.96/x
  3. Step 3: Cross multiply
    465,967.20x = 697,900.40 × 326,348.96
  4. Step 4: Simplify right side
    465,967.20x = 227,759,069,723.58
  5. Step 5: Solve for x
    x = 227,759,069,723.58/465,967.20
  6. Step 6: Final answer
    x = 488,787.77

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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.