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Finding the Fourth Proportional to 467,029.44, 644,382 and 285,675.12

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Solution

The fourth proportional to 467,029.44, 644,382 and 285,675.12 is: 394,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,029.44 : 644,382 = 285,675.12 : x
  2. Step 2: Convert to fraction form
    467,029.44/644,382 = 285,675.12/x
  3. Step 3: Cross multiply
    467,029.44x = 644,382 × 285,675.12
  4. Step 4: Simplify right side
    467,029.44x = 184,083,905,175.84
  5. Step 5: Solve for x
    x = 184,083,905,175.84/467,029.44
  6. Step 6: Final answer
    x = 394,159.10

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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.