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Finding the Fourth Proportional to 310,025.70, 465,038.55 and 197,832.60

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Solution

The fourth proportional to 310,025.70, 465,038.55 and 197,832.60 is: 296,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,025.70 : 465,038.55 = 197,832.60 : x
  2. Step 2: Convert to fraction form
    310,025.70/465,038.55 = 197,832.60/x
  3. Step 3: Cross multiply
    310,025.70x = 465,038.55 × 197,832.60
  4. Step 4: Simplify right side
    310,025.70x = 91,999,785,446.73
  5. Step 5: Solve for x
    x = 91,999,785,446.73/310,025.70
  6. Step 6: Final answer
    x = 296,748.90

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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.