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Finding the Fourth Proportional to 509,763.38, 764,595.68 and 154,780.47

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Solution

The fourth proportional to 509,763.38, 764,595.68 and 154,780.47 is: 232,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,763.38 : 764,595.68 = 154,780.47 : x
  2. Step 2: Convert to fraction form
    509,763.38/764,595.68 = 154,780.47/x
  3. Step 3: Cross multiply
    509,763.38x = 764,595.68 × 154,780.47
  4. Step 4: Simplify right side
    509,763.38x = 118,344,477,936.47
  5. Step 5: Solve for x
    x = 118,344,477,936.47/509,763.38
  6. Step 6: Final answer
    x = 232,155.71

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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.