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Finding the Fourth Proportional to 370,061.48, 510,688.58 and 200,299.24

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Solution

The fourth proportional to 370,061.48, 510,688.58 and 200,299.24 is: 276,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,061.48 : 510,688.58 = 200,299.24 : x
  2. Step 2: Convert to fraction form
    370,061.48/510,688.58 = 200,299.24/x
  3. Step 3: Cross multiply
    370,061.48x = 510,688.58 × 200,299.24
  4. Step 4: Simplify right side
    370,061.48x = 102,290,534,450.68
  5. Step 5: Solve for x
    x = 102,290,534,450.68/370,061.48
  6. Step 6: Final answer
    x = 276,414.97

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Why These Related Problems?

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