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Finding the Fourth Proportional to 331,733.84, 457,792.88 and 188,494.08

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Solution

The fourth proportional to 331,733.84, 457,792.88 and 188,494.08 is: 260,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,733.84 : 457,792.88 = 188,494.08 : x
  2. Step 2: Convert to fraction form
    331,733.84/457,792.88 = 188,494.08/x
  3. Step 3: Cross multiply
    331,733.84x = 457,792.88 × 188,494.08
  4. Step 4: Simplify right side
    331,733.84x = 86,291,247,746.15
  5. Step 5: Solve for x
    x = 86,291,247,746.15/331,733.84
  6. Step 6: Final answer
    x = 260,121.93

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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.