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Finding the Fourth Proportional to 297,703.31, 446,569.56 and 120,188.18

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Solution

The fourth proportional to 297,703.31, 446,569.56 and 120,188.18 is: 180,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,703.31 : 446,569.56 = 120,188.18 : x
  2. Step 2: Convert to fraction form
    297,703.31/446,569.56 = 120,188.18/x
  3. Step 3: Cross multiply
    297,703.31x = 446,569.56 × 120,188.18
  4. Step 4: Simplify right side
    297,703.31x = 53,672,382,659.80
  5. Step 5: Solve for x
    x = 53,672,382,659.80/297,703.31
  6. Step 6: Final answer
    x = 180,288.16

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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.