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Finding the Fourth Proportional to 256,918.30, 384,878.70 and 189,327.64

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Solution

The fourth proportional to 256,918.30, 384,878.70 and 189,327.64 is: 283,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,918.30 : 384,878.70 = 189,327.64 : x
  2. Step 2: Convert to fraction form
    256,918.30/384,878.70 = 189,327.64/x
  3. Step 3: Cross multiply
    256,918.30x = 384,878.70 × 189,327.64
  4. Step 4: Simplify right side
    256,918.30x = 72,868,175,957.27
  5. Step 5: Solve for x
    x = 72,868,175,957.27/256,918.30
  6. Step 6: Final answer
    x = 283,623.92

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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.