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Finding the Fourth Proportional to 256,877.20, 385,315.80 and 204,000.40

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Solution

The fourth proportional to 256,877.20, 385,315.80 and 204,000.40 is: 306,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,877.20 : 385,315.80 = 204,000.40 : x
  2. Step 2: Convert to fraction form
    256,877.20/385,315.80 = 204,000.40/x
  3. Step 3: Cross multiply
    256,877.20x = 385,315.80 × 204,000.40
  4. Step 4: Simplify right side
    256,877.20x = 78,604,577,326.32
  5. Step 5: Solve for x
    x = 78,604,577,326.32/256,877.20
  6. Step 6: Final answer
    x = 306,000.60

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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.