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Finding the Fourth Proportional to 414,053.38, 621,211.29 and 147,808

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Solution

The fourth proportional to 414,053.38, 621,211.29 and 147,808 is: 221,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,053.38 : 621,211.29 = 147,808 : x
  2. Step 2: Convert to fraction form
    414,053.38/621,211.29 = 147,808/x
  3. Step 3: Cross multiply
    414,053.38x = 621,211.29 × 147,808
  4. Step 4: Simplify right side
    414,053.38x = 91,819,998,352.32
  5. Step 5: Solve for x
    x = 91,819,998,352.32/414,053.38
  6. Step 6: Final answer
    x = 221,758.84

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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.