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Finding the Fourth Proportional to 288,632.20, 432,948.30 and 189,099.40

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Solution

The fourth proportional to 288,632.20, 432,948.30 and 189,099.40 is: 283,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,632.20 : 432,948.30 = 189,099.40 : x
  2. Step 2: Convert to fraction form
    288,632.20/432,948.30 = 189,099.40/x
  3. Step 3: Cross multiply
    288,632.20x = 432,948.30 × 189,099.40
  4. Step 4: Simplify right side
    288,632.20x = 81,870,263,761.02
  5. Step 5: Solve for x
    x = 81,870,263,761.02/288,632.20
  6. Step 6: Final answer
    x = 283,649.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.