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Finding the Fourth Proportional to 314,042.36, 471,052.44 and 89,404

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Solution

The fourth proportional to 314,042.36, 471,052.44 and 89,404 is: 134,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,042.36 : 471,052.44 = 89,404 : x
  2. Step 2: Convert to fraction form
    314,042.36/471,052.44 = 89,404/x
  3. Step 3: Cross multiply
    314,042.36x = 471,052.44 × 89,404
  4. Step 4: Simplify right side
    314,042.36x = 42,113,972,345.76
  5. Step 5: Solve for x
    x = 42,113,972,345.76/314,042.36
  6. Step 6: Final answer
    x = 134,102.84

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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.