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Finding the Fourth Proportional to 288,582.47, 398,236.16 and 161,259.11

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Solution

The fourth proportional to 288,582.47, 398,236.16 and 161,259.11 is: 222,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,582.47 : 398,236.16 = 161,259.11 : x
  2. Step 2: Convert to fraction form
    288,582.47/398,236.16 = 161,259.11/x
  3. Step 3: Cross multiply
    288,582.47x = 398,236.16 × 161,259.11
  4. Step 4: Simplify right side
    288,582.47x = 64,219,208,731.42
  5. Step 5: Solve for x
    x = 64,219,208,731.42/288,582.47
  6. Step 6: Final answer
    x = 222,533.30

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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.