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Finding the Fourth Proportional to 569,581.62, 785,991.24 and 314,916

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Solution

The fourth proportional to 569,581.62, 785,991.24 and 314,916 is: 434,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,581.62 : 785,991.24 = 314,916 : x
  2. Step 2: Convert to fraction form
    569,581.62/785,991.24 = 314,916/x
  3. Step 3: Cross multiply
    569,581.62x = 785,991.24 × 314,916
  4. Step 4: Simplify right side
    569,581.62x = 247,521,217,335.84
  5. Step 5: Solve for x
    x = 247,521,217,335.84/569,581.62
  6. Step 6: Final answer
    x = 434,566.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.