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Finding the Fourth Proportional to 503,288.83, 694,557.75 and 288,470.35

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Solution

The fourth proportional to 503,288.83, 694,557.75 and 288,470.35 is: 398,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,288.83 : 694,557.75 = 288,470.35 : x
  2. Step 2: Convert to fraction form
    503,288.83/694,557.75 = 288,470.35/x
  3. Step 3: Cross multiply
    503,288.83x = 694,557.75 × 288,470.35
  4. Step 4: Simplify right side
    503,288.83x = 200,359,317,237.71
  5. Step 5: Solve for x
    x = 200,359,317,237.71/503,288.83
  6. Step 6: Final answer
    x = 398,100.07

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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.