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Finding the Fourth Proportional to 256,824.40, 385,121.40 and 99,000.40

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Solution

The fourth proportional to 256,824.40, 385,121.40 and 99,000.40 is: 148,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824.40 : 385,121.40 = 99,000.40 : x
  2. Step 2: Convert to fraction form
    256,824.40/385,121.40 = 99,000.40/x
  3. Step 3: Cross multiply
    256,824.40x = 385,121.40 × 99,000.40
  4. Step 4: Simplify right side
    256,824.40x = 38,127,172,648.56
  5. Step 5: Solve for x
    x = 38,127,172,648.56/256,824.40
  6. Step 6: Final answer
    x = 148,456.19

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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.