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Finding the Fourth Proportional to 257,089.58, 385,596.39 and 150,522.74

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Solution

The fourth proportional to 257,089.58, 385,596.39 and 150,522.74 is: 225,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,089.58 : 385,596.39 = 150,522.74 : x
  2. Step 2: Convert to fraction form
    257,089.58/385,596.39 = 150,522.74/x
  3. Step 3: Cross multiply
    257,089.58x = 385,596.39 × 150,522.74
  4. Step 4: Simplify right side
    257,089.58x = 58,041,025,156.91
  5. Step 5: Solve for x
    x = 58,041,025,156.91/257,089.58
  6. Step 6: Final answer
    x = 225,761.87

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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.