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Finding the Fourth Proportional to 314,334.02, 471,505.35 and 89,694.38

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Solution

The fourth proportional to 314,334.02, 471,505.35 and 89,694.38 is: 134,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,334.02 : 471,505.35 = 89,694.38 : x
  2. Step 2: Convert to fraction form
    314,334.02/471,505.35 = 89,694.38/x
  3. Step 3: Cross multiply
    314,334.02x = 471,505.35 × 89,694.38
  4. Step 4: Simplify right side
    314,334.02x = 42,291,380,034.93
  5. Step 5: Solve for x
    x = 42,291,380,034.93/314,334.02
  6. Step 6: Final answer
    x = 134,542.80

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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.