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Finding the Fourth Proportional to 414,045.68, 621,199.80 and 147,800.48

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Solution

The fourth proportional to 414,045.68, 621,199.80 and 147,800.48 is: 221,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,045.68 : 621,199.80 = 147,800.48 : x
  2. Step 2: Convert to fraction form
    414,045.68/621,199.80 = 147,800.48/x
  3. Step 3: Cross multiply
    414,045.68x = 621,199.80 × 147,800.48
  4. Step 4: Simplify right side
    414,045.68x = 91,813,628,615.90
  5. Step 5: Solve for x
    x = 91,813,628,615.90/414,045.68
  6. Step 6: Final answer
    x = 221,747.58

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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.