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Finding the Fourth Proportional to 227,641.60, 341,462.40 and 156,782.80

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Solution

The fourth proportional to 227,641.60, 341,462.40 and 156,782.80 is: 235,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,641.60 : 341,462.40 = 156,782.80 : x
  2. Step 2: Convert to fraction form
    227,641.60/341,462.40 = 156,782.80/x
  3. Step 3: Cross multiply
    227,641.60x = 341,462.40 × 156,782.80
  4. Step 4: Simplify right side
    227,641.60x = 53,535,431,166.72
  5. Step 5: Solve for x
    x = 53,535,431,166.72/227,641.60
  6. Step 6: Final answer
    x = 235,174.20

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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.