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Finding the Fourth Proportional to 410,042.15, 614,993.14 and 110,452.67

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Solution

The fourth proportional to 410,042.15, 614,993.14 and 110,452.67 is: 165,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,042.15 : 614,993.14 = 110,452.67 : x
  2. Step 2: Convert to fraction form
    410,042.15/614,993.14 = 110,452.67/x
  3. Step 3: Cross multiply
    410,042.15x = 614,993.14 × 110,452.67
  4. Step 4: Simplify right side
    410,042.15x = 67,927,634,344.68
  5. Step 5: Solve for x
    x = 67,927,634,344.68/410,042.15
  6. Step 6: Final answer
    x = 165,660.13

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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.