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Finding the Fourth Proportional to 288,592.24, 398,256.65 and 161,267.84

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Solution

The fourth proportional to 288,592.24, 398,256.65 and 161,267.84 is: 222,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,592.24 : 398,256.65 = 161,267.84 : x
  2. Step 2: Convert to fraction form
    288,592.24/398,256.65 = 161,267.84/x
  3. Step 3: Cross multiply
    288,592.24x = 398,256.65 × 161,267.84
  4. Step 4: Simplify right side
    288,592.24x = 64,225,988,904.80
  5. Step 5: Solve for x
    x = 64,225,988,904.80/288,592.24
  6. Step 6: Final answer
    x = 222,549.26

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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.