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Finding the Fourth Proportional to 314,388.75, 471,594.06 and 104,021.22

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Solution

The fourth proportional to 314,388.75, 471,594.06 and 104,021.22 is: 156,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,388.75 : 471,594.06 = 104,021.22 : x
  2. Step 2: Convert to fraction form
    314,388.75/471,594.06 = 104,021.22/x
  3. Step 3: Cross multiply
    314,388.75x = 471,594.06 × 104,021.22
  4. Step 4: Simplify right side
    314,388.75x = 49,055,789,465.95
  5. Step 5: Solve for x
    x = 49,055,789,465.95/314,388.75
  6. Step 6: Final answer
    x = 156,035.45

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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.