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Finding the Fourth Proportional to 414,064.63, 621,228.18 and 147,819.25

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Solution

The fourth proportional to 414,064.63, 621,228.18 and 147,819.25 is: 221,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,064.63 : 621,228.18 = 147,819.25 : x
  2. Step 2: Convert to fraction form
    414,064.63/621,228.18 = 147,819.25/x
  3. Step 3: Cross multiply
    414,064.63x = 621,228.18 × 147,819.25
  4. Step 4: Simplify right side
    414,064.63x = 91,829,483,646.47
  5. Step 5: Solve for x
    x = 91,829,483,646.47/414,064.63
  6. Step 6: Final answer
    x = 221,775.73

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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.