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Finding the Fourth Proportional to 503,101.92, 694,217.52 and 340,113

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Solution

The fourth proportional to 503,101.92, 694,217.52 and 340,113 is: 469,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,101.92 : 694,217.52 = 340,113 : x
  2. Step 2: Convert to fraction form
    503,101.92/694,217.52 = 340,113/x
  3. Step 3: Cross multiply
    503,101.92x = 694,217.52 × 340,113
  4. Step 4: Simplify right side
    503,101.92x = 236,112,403,379.76
  5. Step 5: Solve for x
    x = 236,112,403,379.76/503,101.92
  6. Step 6: Final answer
    x = 469,313.26

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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.