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Finding the Fourth Proportional to 314,414.65, 471,325.51 and 156,493.81

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Solution

The fourth proportional to 314,414.65, 471,325.51 and 156,493.81 is: 234,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,414.65 : 471,325.51 = 156,493.81 : x
  2. Step 2: Convert to fraction form
    314,414.65/471,325.51 = 156,493.81/x
  3. Step 3: Cross multiply
    314,414.65x = 471,325.51 × 156,493.81
  4. Step 4: Simplify right side
    314,414.65x = 73,759,524,810.09
  5. Step 5: Solve for x
    x = 73,759,524,810.09/314,414.65
  6. Step 6: Final answer
    x = 234,593.16

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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.