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Finding the Fourth Proportional to 414,841.40, 621,824.70 and 162,024.20

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Solution

The fourth proportional to 414,841.40, 621,824.70 and 162,024.20 is: 242,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,841.40 : 621,824.70 = 162,024.20 : x
  2. Step 2: Convert to fraction form
    414,841.40/621,824.70 = 162,024.20/x
  3. Step 3: Cross multiply
    414,841.40x = 621,824.70 × 162,024.20
  4. Step 4: Simplify right side
    414,841.40x = 100,750,649,557.74
  5. Step 5: Solve for x
    x = 100,750,649,557.74/414,841.40
  6. Step 6: Final answer
    x = 242,865.47

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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.