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Finding the Fourth Proportional to 313,892.78, 433,176.75 and 170,652.50

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Solution

The fourth proportional to 313,892.78, 433,176.75 and 170,652.50 is: 235,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892.78 : 433,176.75 = 170,652.50 : x
  2. Step 2: Convert to fraction form
    313,892.78/433,176.75 = 170,652.50/x
  3. Step 3: Cross multiply
    313,892.78x = 433,176.75 × 170,652.50
  4. Step 4: Simplify right side
    313,892.78x = 73,922,695,329.38
  5. Step 5: Solve for x
    x = 73,922,695,329.38/313,892.78
  6. Step 6: Final answer
    x = 235,503.01

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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.