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Finding the Fourth Proportional to 407,642.50, 610,797.84 and 247,767.34

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Solution

The fourth proportional to 407,642.50, 610,797.84 and 247,767.34 is: 371,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,642.50 : 610,797.84 = 247,767.34 : x
  2. Step 2: Convert to fraction form
    407,642.50/610,797.84 = 247,767.34/x
  3. Step 3: Cross multiply
    407,642.50x = 610,797.84 × 247,767.34
  4. Step 4: Simplify right side
    407,642.50x = 151,335,756,094.55
  5. Step 5: Solve for x
    x = 151,335,756,094.55/407,642.50
  6. Step 6: Final answer
    x = 371,246.27

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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.