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Finding the Fourth Proportional to 288,002.10, 432,003.15 and 276,338.10

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Solution

The fourth proportional to 288,002.10, 432,003.15 and 276,338.10 is: 414,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.10 : 432,003.15 = 276,338.10 : x
  2. Step 2: Convert to fraction form
    288,002.10/432,003.15 = 276,338.10/x
  3. Step 3: Cross multiply
    288,002.10x = 432,003.15 × 276,338.10
  4. Step 4: Simplify right side
    288,002.10x = 119,378,929,665.02
  5. Step 5: Solve for x
    x = 119,378,929,665.02/288,002.10
  6. Step 6: Final answer
    x = 414,507.15

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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.