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Finding the Fourth Proportional to 313,771.16, 433,007.04 and 170,531.54

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Solution

The fourth proportional to 313,771.16, 433,007.04 and 170,531.54 is: 235,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,771.16 : 433,007.04 = 170,531.54 : x
  2. Step 2: Convert to fraction form
    313,771.16/433,007.04 = 170,531.54/x
  3. Step 3: Cross multiply
    313,771.16x = 433,007.04 × 170,531.54
  4. Step 4: Simplify right side
    313,771.16x = 73,841,357,362.04
  5. Step 5: Solve for x
    x = 73,841,357,362.04/313,771.16
  6. Step 6: Final answer
    x = 235,335.07

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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.