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Finding the Fourth Proportional to 297,390.96, 446,087.05 and 209,039.81

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Solution

The fourth proportional to 297,390.96, 446,087.05 and 209,039.81 is: 313,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,390.96 : 446,087.05 = 209,039.81 : x
  2. Step 2: Convert to fraction form
    297,390.96/446,087.05 = 209,039.81/x
  3. Step 3: Cross multiply
    297,390.96x = 446,087.05 × 209,039.81
  4. Step 4: Simplify right side
    297,390.96x = 93,249,949,422.43
  5. Step 5: Solve for x
    x = 93,249,949,422.43/297,390.96
  6. Step 6: Final answer
    x = 313,560.13

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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.