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Finding the Fourth Proportional to 294,701.50, 442,052.25 and 107,713

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Solution

The fourth proportional to 294,701.50, 442,052.25 and 107,713 is: 161,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,701.50 : 442,052.25 = 107,713 : x
  2. Step 2: Convert to fraction form
    294,701.50/442,052.25 = 107,713/x
  3. Step 3: Cross multiply
    294,701.50x = 442,052.25 × 107,713
  4. Step 4: Simplify right side
    294,701.50x = 47,614,774,004.25
  5. Step 5: Solve for x
    x = 47,614,774,004.25/294,701.50
  6. Step 6: Final answer
    x = 161,569.50

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1.5x scale

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.