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Finding the Fourth Proportional to 531,778.40, 797,434.08 and 199,121.12

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Solution

The fourth proportional to 531,778.40, 797,434.08 and 199,121.12 is: 298,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,778.40 : 797,434.08 = 199,121.12 : x
  2. Step 2: Convert to fraction form
    531,778.40/797,434.08 = 199,121.12/x
  3. Step 3: Cross multiply
    531,778.40x = 797,434.08 × 199,121.12
  4. Step 4: Simplify right side
    531,778.40x = 158,785,967,135.77
  5. Step 5: Solve for x
    x = 158,785,967,135.77/531,778.40
  6. Step 6: Final answer
    x = 298,594.24

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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.