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Finding the Fourth Proportional to 261,894.84, 393,037.89 and 177,454.77

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Solution

The fourth proportional to 261,894.84, 393,037.89 and 177,454.77 is: 266,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,894.84 : 393,037.89 = 177,454.77 : x
  2. Step 2: Convert to fraction form
    261,894.84/393,037.89 = 177,454.77/x
  3. Step 3: Cross multiply
    261,894.84x = 393,037.89 × 177,454.77
  4. Step 4: Simplify right side
    261,894.84x = 69,746,448,371.24
  5. Step 5: Solve for x
    x = 69,746,448,371.24/261,894.84
  6. Step 6: Final answer
    x = 266,314.71

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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.