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Finding the Fourth Proportional to 306,032.60, 458,830.20 and 137,414.90

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Solution

The fourth proportional to 306,032.60, 458,830.20 and 137,414.90 is: 206,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.60 : 458,830.20 = 137,414.90 : x
  2. Step 2: Convert to fraction form
    306,032.60/458,830.20 = 137,414.90/x
  3. Step 3: Cross multiply
    306,032.60x = 458,830.20 × 137,414.90
  4. Step 4: Simplify right side
    306,032.60x = 63,050,106,049.98
  5. Step 5: Solve for x
    x = 63,050,106,049.98/306,032.60
  6. Step 6: Final answer
    x = 206,024.15

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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.