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Finding the Fourth Proportional to 288,009.10, 432,532.05 and 209,212.30

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Solution

The fourth proportional to 288,009.10, 432,532.05 and 209,212.30 is: 314,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,009.10 : 432,532.05 = 209,212.30 : x
  2. Step 2: Convert to fraction form
    288,009.10/432,532.05 = 209,212.30/x
  3. Step 3: Cross multiply
    288,009.10x = 432,532.05 × 209,212.30
  4. Step 4: Simplify right side
    288,009.10x = 90,491,025,004.22
  5. Step 5: Solve for x
    x = 90,491,025,004.22/288,009.10
  6. Step 6: Final answer
    x = 314,195.02

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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.