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Finding the Fourth Proportional to 650,580.59, 976,204.44 and 313,908.35

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Solution

The fourth proportional to 650,580.59, 976,204.44 and 313,908.35 is: 471,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,580.59 : 976,204.44 = 313,908.35 : x
  2. Step 2: Convert to fraction form
    650,580.59/976,204.44 = 313,908.35/x
  3. Step 3: Cross multiply
    650,580.59x = 976,204.44 × 313,908.35
  4. Step 4: Simplify right side
    650,580.59x = 306,438,720,142.05
  5. Step 5: Solve for x
    x = 306,438,720,142.05/650,580.59
  6. Step 6: Final answer
    x = 471,023.46

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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.