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Finding the Fourth Proportional to 269,071.60, 403,607.40 and 256,169.20

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Solution

The fourth proportional to 269,071.60, 403,607.40 and 256,169.20 is: 384,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,071.60 : 403,607.40 = 256,169.20 : x
  2. Step 2: Convert to fraction form
    269,071.60/403,607.40 = 256,169.20/x
  3. Step 3: Cross multiply
    269,071.60x = 403,607.40 × 256,169.20
  4. Step 4: Simplify right side
    269,071.60x = 103,391,784,772.08
  5. Step 5: Solve for x
    x = 103,391,784,772.08/269,071.60
  6. Step 6: Final answer
    x = 384,253.80

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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.