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Finding the Fourth Proportional to 314,793.10, 434,401.81 and 171,550.05

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Solution

The fourth proportional to 314,793.10, 434,401.81 and 171,550.05 is: 236,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,793.10 : 434,401.81 = 171,550.05 : x
  2. Step 2: Convert to fraction form
    314,793.10/434,401.81 = 171,550.05/x
  3. Step 3: Cross multiply
    314,793.10x = 434,401.81 × 171,550.05
  4. Step 4: Simplify right side
    314,793.10x = 74,521,652,225.59
  5. Step 5: Solve for x
    x = 74,521,652,225.59/314,793.10
  6. Step 6: Final answer
    x = 236,732.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.