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Finding the Fourth Proportional to 286,516.60, 430,233.90 and 227,840.20

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Solution

The fourth proportional to 286,516.60, 430,233.90 and 227,840.20 is: 342,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,516.60 : 430,233.90 = 227,840.20 : x
  2. Step 2: Convert to fraction form
    286,516.60/430,233.90 = 227,840.20/x
  3. Step 3: Cross multiply
    286,516.60x = 430,233.90 × 227,840.20
  4. Step 4: Simplify right side
    286,516.60x = 98,024,577,822.78
  5. Step 5: Solve for x
    x = 98,024,577,822.78/286,516.60
  6. Step 6: Final answer
    x = 342,125.30

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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.