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Finding the Fourth Proportional to 407,717.40, 611,576.10 and 256,158.30

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Solution

The fourth proportional to 407,717.40, 611,576.10 and 256,158.30 is: 384,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,717.40 : 611,576.10 = 256,158.30 : x
  2. Step 2: Convert to fraction form
    407,717.40/611,576.10 = 256,158.30/x
  3. Step 3: Cross multiply
    407,717.40x = 611,576.10 × 256,158.30
  4. Step 4: Simplify right side
    407,717.40x = 156,660,294,096.63
  5. Step 5: Solve for x
    x = 156,660,294,096.63/407,717.40
  6. Step 6: Final answer
    x = 384,237.45

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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.