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Finding the Fourth Proportional to 412,148.15, 618,311.07 and 127,833.06

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Solution

The fourth proportional to 412,148.15, 618,311.07 and 127,833.06 is: 191,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,148.15 : 618,311.07 = 127,833.06 : x
  2. Step 2: Convert to fraction form
    412,148.15/618,311.07 = 127,833.06/x
  3. Step 3: Cross multiply
    412,148.15x = 618,311.07 × 127,833.06
  4. Step 4: Simplify right side
    412,148.15x = 79,040,596,689.64
  5. Step 5: Solve for x
    x = 79,040,596,689.64/412,148.15
  6. Step 6: Final answer
    x = 191,777.15

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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.