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Finding the Fourth Proportional to 509,777.57, 764,616.94 and 154,794.71

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Solution

The fourth proportional to 509,777.57, 764,616.94 and 154,794.71 is: 232,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,777.57 : 764,616.94 = 154,794.71 : x
  2. Step 2: Convert to fraction form
    509,777.57/764,616.94 = 154,794.71/x
  3. Step 3: Cross multiply
    509,777.57x = 764,616.94 × 154,794.71
  4. Step 4: Simplify right side
    509,777.57x = 118,358,657,488.39
  5. Step 5: Solve for x
    x = 118,358,657,488.39/509,777.57
  6. Step 6: Final answer
    x = 232,177.06

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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.