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Finding the Fourth Proportional to 298,566, 447,846.20 and 121,030.84

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Solution

The fourth proportional to 298,566, 447,846.20 and 121,030.84 is: 181,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,566 : 447,846.20 = 121,030.84 : x
  2. Step 2: Convert to fraction form
    298,566/447,846.20 = 121,030.84/x
  3. Step 3: Cross multiply
    298,566x = 447,846.20 × 121,030.84
  4. Step 4: Simplify right side
    298,566x = 54,203,201,776.81
  5. Step 5: Solve for x
    x = 54,203,201,776.81/298,566
  6. Step 6: Final answer
    x = 181,545.12

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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.