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Finding the Fourth Proportional to 370,140.50, 510,795.54 and 200,374.62

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Solution

The fourth proportional to 370,140.50, 510,795.54 and 200,374.62 is: 276,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,140.50 : 510,795.54 = 200,374.62 : x
  2. Step 2: Convert to fraction form
    370,140.50/510,795.54 = 200,374.62/x
  3. Step 3: Cross multiply
    370,140.50x = 510,795.54 × 200,374.62
  4. Step 4: Simplify right side
    370,140.50x = 102,350,462,225.20
  5. Step 5: Solve for x
    x = 102,350,462,225.20/370,140.50
  6. Step 6: Final answer
    x = 276,517.87

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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.