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Finding the Fourth Proportional to 298,625.40, 447,938.10 and 141,161.40

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Solution

The fourth proportional to 298,625.40, 447,938.10 and 141,161.40 is: 211,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,625.40 : 447,938.10 = 141,161.40 : x
  2. Step 2: Convert to fraction form
    298,625.40/447,938.10 = 141,161.40/x
  3. Step 3: Cross multiply
    298,625.40x = 447,938.10 × 141,161.40
  4. Step 4: Simplify right side
    298,625.40x = 63,231,569,309.34
  5. Step 5: Solve for x
    x = 63,231,569,309.34/298,625.40
  6. Step 6: Final answer
    x = 211,742.10

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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.