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Finding the Fourth Proportional to 256,877.70, 360,416.10 and 256,877.70

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Solution

The fourth proportional to 256,877.70, 360,416.10 and 256,877.70 is: 360,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,877.70 : 360,416.10 = 256,877.70 : x
  2. Step 2: Convert to fraction form
    256,877.70/360,416.10 = 256,877.70/x
  3. Step 3: Cross multiply
    256,877.70x = 360,416.10 × 256,877.70
  4. Step 4: Simplify right side
    256,877.70x = 92,582,858,810.97
  5. Step 5: Solve for x
    x = 92,582,858,810.97/256,877.70
  6. Step 6: Final answer
    x = 360,416.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.