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Finding the Fourth Proportional to 633,693.10, 950,228.60 and 313,475

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Solution

The fourth proportional to 633,693.10, 950,228.60 and 313,475 is: 470,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,693.10 : 950,228.60 = 313,475 : x
  2. Step 2: Convert to fraction form
    633,693.10/950,228.60 = 313,475/x
  3. Step 3: Cross multiply
    633,693.10x = 950,228.60 × 313,475
  4. Step 4: Simplify right side
    633,693.10x = 297,872,910,385
  5. Step 5: Solve for x
    x = 297,872,910,385/633,693.10
  6. Step 6: Final answer
    x = 470,058.63

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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.