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Finding the Fourth Proportional to 256,394.69, 384,592.33 and 66,854.89

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Solution

The fourth proportional to 256,394.69, 384,592.33 and 66,854.89 is: 100,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394.69 : 384,592.33 = 66,854.89 : x
  2. Step 2: Convert to fraction form
    256,394.69/384,592.33 = 66,854.89/x
  3. Step 3: Cross multiply
    256,394.69x = 384,592.33 × 66,854.89
  4. Step 4: Simplify right side
    256,394.69x = 25,711,879,374.94
  5. Step 5: Solve for x
    x = 25,711,879,374.94/256,394.69
  6. Step 6: Final answer
    x = 100,282.42

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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.