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Finding the Fourth Proportional to 313,276.91, 469,323.53 and 242,811.23

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Solution

The fourth proportional to 313,276.91, 469,323.53 and 242,811.23 is: 363,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,276.91 : 469,323.53 = 242,811.23 : x
  2. Step 2: Convert to fraction form
    313,276.91/469,323.53 = 242,811.23/x
  3. Step 3: Cross multiply
    313,276.91x = 469,323.53 × 242,811.23
  4. Step 4: Simplify right side
    313,276.91x = 113,957,022,373.19
  5. Step 5: Solve for x
    x = 113,957,022,373.19/313,276.91
  6. Step 6: Final answer
    x = 363,758.13

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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.