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Finding the Fourth Proportional to 312,073.40, 468,110.10 and 154,609.40

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Solution

The fourth proportional to 312,073.40, 468,110.10 and 154,609.40 is: 231,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,073.40 : 468,110.10 = 154,609.40 : x
  2. Step 2: Convert to fraction form
    312,073.40/468,110.10 = 154,609.40/x
  3. Step 3: Cross multiply
    312,073.40x = 468,110.10 × 154,609.40
  4. Step 4: Simplify right side
    312,073.40x = 72,374,221,694.94
  5. Step 5: Solve for x
    x = 72,374,221,694.94/312,073.40
  6. Step 6: Final answer
    x = 231,914.10

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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.