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Finding the Fourth Proportional to 509,744.52, 764,655.66 and 154,787.94

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Solution

The fourth proportional to 509,744.52, 764,655.66 and 154,787.94 is: 232,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,744.52 : 764,655.66 = 154,787.94 : x
  2. Step 2: Convert to fraction form
    509,744.52/764,655.66 = 154,787.94/x
  3. Step 3: Cross multiply
    509,744.52x = 764,655.66 × 154,787.94
  4. Step 4: Simplify right side
    509,744.52x = 118,359,474,420.74
  5. Step 5: Solve for x
    x = 118,359,474,420.74/509,744.52
  6. Step 6: Final answer
    x = 232,193.72

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Why These Related Problems?

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