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Finding the Fourth Proportional to 312,356.60, 430,876.14 and 197,599.64

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Solution

The fourth proportional to 312,356.60, 430,876.14 and 197,599.64 is: 272,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,356.60 : 430,876.14 = 197,599.64 : x
  2. Step 2: Convert to fraction form
    312,356.60/430,876.14 = 197,599.64/x
  3. Step 3: Cross multiply
    312,356.60x = 430,876.14 × 197,599.64
  4. Step 4: Simplify right side
    312,356.60x = 85,140,970,148.59
  5. Step 5: Solve for x
    x = 85,140,970,148.59/312,356.60
  6. Step 6: Final answer
    x = 272,576.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.