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Finding the Fourth Proportional to 288,560.50, 398,206.06 and 161,237.14

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Solution

The fourth proportional to 288,560.50, 398,206.06 and 161,237.14 is: 222,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,560.50 : 398,206.06 = 161,237.14 : x
  2. Step 2: Convert to fraction form
    288,560.50/398,206.06 = 161,237.14/x
  3. Step 3: Cross multiply
    288,560.50x = 398,206.06 × 161,237.14
  4. Step 4: Simplify right side
    288,560.50x = 64,205,606,245.07
  5. Step 5: Solve for x
    x = 64,205,606,245.07/288,560.50
  6. Step 6: Final answer
    x = 222,503.10

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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.