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Finding the Fourth Proportional to 256,803.40, 385,205.10 and 151,568.20

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Solution

The fourth proportional to 256,803.40, 385,205.10 and 151,568.20 is: 227,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,803.40 : 385,205.10 = 151,568.20 : x
  2. Step 2: Convert to fraction form
    256,803.40/385,205.10 = 151,568.20/x
  3. Step 3: Cross multiply
    256,803.40x = 385,205.10 × 151,568.20
  4. Step 4: Simplify right side
    256,803.40x = 58,384,843,637.82
  5. Step 5: Solve for x
    x = 58,384,843,637.82/256,803.40
  6. Step 6: Final answer
    x = 227,352.30

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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.