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Finding the Fourth Proportional to 288,583.86, 398,245.10 and 161,259.45

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Solution

The fourth proportional to 288,583.86, 398,245.10 and 161,259.45 is: 222,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,583.86 : 398,245.10 = 161,259.45 : x
  2. Step 2: Convert to fraction form
    288,583.86/398,245.10 = 161,259.45/x
  3. Step 3: Cross multiply
    288,583.86x = 398,245.10 × 161,259.45
  4. Step 4: Simplify right side
    288,583.86x = 64,220,784,984.90
  5. Step 5: Solve for x
    x = 64,220,784,984.90/288,583.86
  6. Step 6: Final answer
    x = 222,537.69

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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.