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Finding the Fourth Proportional to 494,818.56, 742,227.84 and 284,322.24

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Solution

The fourth proportional to 494,818.56, 742,227.84 and 284,322.24 is: 426,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,818.56 : 742,227.84 = 284,322.24 : x
  2. Step 2: Convert to fraction form
    494,818.56/742,227.84 = 284,322.24/x
  3. Step 3: Cross multiply
    494,818.56x = 742,227.84 × 284,322.24
  4. Step 4: Simplify right side
    494,818.56x = 211,031,882,059.16
  5. Step 5: Solve for x
    x = 211,031,882,059.16/494,818.56
  6. Step 6: Final answer
    x = 426,483.36

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Similar ratio
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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.