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Finding the Fourth Proportional to 314,363.47, 471,578.78 and 134,467.50

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Solution

The fourth proportional to 314,363.47, 471,578.78 and 134,467.50 is: 201,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,363.47 : 471,578.78 = 134,467.50 : x
  2. Step 2: Convert to fraction form
    314,363.47/471,578.78 = 134,467.50/x
  3. Step 3: Cross multiply
    314,363.47x = 471,578.78 × 134,467.50
  4. Step 4: Simplify right side
    314,363.47x = 63,412,019,599.65
  5. Step 5: Solve for x
    x = 63,412,019,599.65/314,363.47
  6. Step 6: Final answer
    x = 201,715.61

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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.