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Finding the Fourth Proportional to 632,523.40, 948,499.83 and 312,550.51

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Solution

The fourth proportional to 632,523.40, 948,499.83 and 312,550.51 is: 468,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,523.40 : 948,499.83 = 312,550.51 : x
  2. Step 2: Convert to fraction form
    632,523.40/948,499.83 = 312,550.51/x
  3. Step 3: Cross multiply
    632,523.40x = 948,499.83 × 312,550.51
  4. Step 4: Simplify right side
    632,523.40x = 296,454,105,601.41
  5. Step 5: Solve for x
    x = 296,454,105,601.41/632,523.40
  6. Step 6: Final answer
    x = 468,684.80

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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.