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Finding the Fourth Proportional to 414,043.68, 621,196.80 and 147,798.48

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Solution

The fourth proportional to 414,043.68, 621,196.80 and 147,798.48 is: 221,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,043.68 : 621,196.80 = 147,798.48 : x
  2. Step 2: Convert to fraction form
    414,043.68/621,196.80 = 147,798.48/x
  3. Step 3: Cross multiply
    414,043.68x = 621,196.80 × 147,798.48
  4. Step 4: Simplify right side
    414,043.68x = 91,811,942,820.86
  5. Step 5: Solve for x
    x = 91,811,942,820.86/414,043.68
  6. Step 6: Final answer
    x = 221,744.58

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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.