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Finding the Fourth Proportional to 269,538.30, 404,307.45 and 256,416.30

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Solution

The fourth proportional to 269,538.30, 404,307.45 and 256,416.30 is: 384,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,538.30 : 404,307.45 = 256,416.30 : x
  2. Step 2: Convert to fraction form
    269,538.30/404,307.45 = 256,416.30/x
  3. Step 3: Cross multiply
    269,538.30x = 404,307.45 × 256,416.30
  4. Step 4: Simplify right side
    269,538.30x = 103,671,020,391.44
  5. Step 5: Solve for x
    x = 103,671,020,391.44/269,538.30
  6. Step 6: Final answer
    x = 384,624.45

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Similar ratio
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1.5x scale

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.