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Finding the Fourth Proportional to 286,178.61, 394,846.45 and 178,857.66

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Solution

The fourth proportional to 286,178.61, 394,846.45 and 178,857.66 is: 246,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,178.61 : 394,846.45 = 178,857.66 : x
  2. Step 2: Convert to fraction form
    286,178.61/394,846.45 = 178,857.66/x
  3. Step 3: Cross multiply
    286,178.61x = 394,846.45 × 178,857.66
  4. Step 4: Simplify right side
    286,178.61x = 70,621,312,106.31
  5. Step 5: Solve for x
    x = 70,621,312,106.31/286,178.61
  6. Step 6: Final answer
    x = 246,773.55

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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.