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Finding the Fourth Proportional to 360,970.49, 498,145.17 and 197,624.26

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Solution

The fourth proportional to 360,970.49, 498,145.17 and 197,624.26 is: 272,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,970.49 : 498,145.17 = 197,624.26 : x
  2. Step 2: Convert to fraction form
    360,970.49/498,145.17 = 197,624.26/x
  3. Step 3: Cross multiply
    360,970.49x = 498,145.17 × 197,624.26
  4. Step 4: Simplify right side
    360,970.49x = 98,445,570,593.82
  5. Step 5: Solve for x
    x = 98,445,570,593.82/360,970.49
  6. Step 6: Final answer
    x = 272,724.71

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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.