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Finding the Fourth Proportional to 312,523.74, 468,807.48 and 154,709.82

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Solution

The fourth proportional to 312,523.74, 468,807.48 and 154,709.82 is: 232,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,523.74 : 468,807.48 = 154,709.82 : x
  2. Step 2: Convert to fraction form
    312,523.74/468,807.48 = 154,709.82/x
  3. Step 3: Cross multiply
    312,523.74x = 468,807.48 × 154,709.82
  4. Step 4: Simplify right side
    312,523.74x = 72,529,120,845.45
  5. Step 5: Solve for x
    x = 72,529,120,845.45/312,523.74
  6. Step 6: Final answer
    x = 232,075.56

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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.