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Finding the Fourth Proportional to 522,817.93, 784,227.20 and 256,516.66

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Solution

The fourth proportional to 522,817.93, 784,227.20 and 256,516.66 is: 384,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,817.93 : 784,227.20 = 256,516.66 : x
  2. Step 2: Convert to fraction form
    522,817.93/784,227.20 = 256,516.66/x
  3. Step 3: Cross multiply
    522,817.93x = 784,227.20 × 256,516.66
  4. Step 4: Simplify right side
    522,817.93x = 201,167,342,025.15
  5. Step 5: Solve for x
    x = 201,167,342,025.15/522,817.93
  6. Step 6: Final answer
    x = 384,775.14

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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.