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Finding the Fourth Proportional to 466,376.80, 699,046.80 and 256,165.60

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Solution

The fourth proportional to 466,376.80, 699,046.80 and 256,165.60 is: 383,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,376.80 : 699,046.80 = 256,165.60 : x
  2. Step 2: Convert to fraction form
    466,376.80/699,046.80 = 256,165.60/x
  3. Step 3: Cross multiply
    466,376.80x = 699,046.80 × 256,165.60
  4. Step 4: Simplify right side
    466,376.80x = 179,071,742,950.08
  5. Step 5: Solve for x
    x = 179,071,742,950.08/466,376.80
  6. Step 6: Final answer
    x = 383,963.66

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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.