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Finding the Fourth Proportional to 313,277.16, 469,323.90 and 242,811.48

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Solution

The fourth proportional to 313,277.16, 469,323.90 and 242,811.48 is: 363,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,277.16 : 469,323.90 = 242,811.48 : x
  2. Step 2: Convert to fraction form
    313,277.16/469,323.90 = 242,811.48/x
  3. Step 3: Cross multiply
    313,277.16x = 469,323.90 × 242,811.48
  4. Step 4: Simplify right side
    313,277.16x = 113,957,230,758.37
  5. Step 5: Solve for x
    x = 113,957,230,758.37/313,277.16
  6. Step 6: Final answer
    x = 363,758.50

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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.