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Finding the Fourth Proportional to 314,204.22, 471,235.32 and 89,559.81

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Solution

The fourth proportional to 314,204.22, 471,235.32 and 89,559.81 is: 134,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,204.22 : 471,235.32 = 89,559.81 : x
  2. Step 2: Convert to fraction form
    314,204.22/471,235.32 = 89,559.81/x
  3. Step 3: Cross multiply
    314,204.22x = 471,235.32 × 89,559.81
  4. Step 4: Simplify right side
    314,204.22x = 42,203,745,724.49
  5. Step 5: Solve for x
    x = 42,203,745,724.49/314,204.22
  6. Step 6: Final answer
    x = 134,319.47

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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.