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Finding the Fourth Proportional to 288,756.24, 398,492.36 and 161,437.20

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Solution

The fourth proportional to 288,756.24, 398,492.36 and 161,437.20 is: 222,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,756.24 : 398,492.36 = 161,437.20 : x
  2. Step 2: Convert to fraction form
    288,756.24/398,492.36 = 161,437.20/x
  3. Step 3: Cross multiply
    288,756.24x = 398,492.36 × 161,437.20
  4. Step 4: Simplify right side
    288,756.24x = 64,331,490,819.79
  5. Step 5: Solve for x
    x = 64,331,490,819.79/288,756.24
  6. Step 6: Final answer
    x = 222,788.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.