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Finding the Fourth Proportional to 320,843.14, 442,758.16 and 177,600.10

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Solution

The fourth proportional to 320,843.14, 442,758.16 and 177,600.10 is: 245,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,843.14 : 442,758.16 = 177,600.10 : x
  2. Step 2: Convert to fraction form
    320,843.14/442,758.16 = 177,600.10/x
  3. Step 3: Cross multiply
    320,843.14x = 442,758.16 × 177,600.10
  4. Step 4: Simplify right side
    320,843.14x = 78,633,893,491.82
  5. Step 5: Solve for x
    x = 78,633,893,491.82/320,843.14
  6. Step 6: Final answer
    x = 245,085.16

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1.5x scale

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.