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Finding the Fourth Proportional to 313,569.38, 432,728.02 and 170,329.48

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Solution

The fourth proportional to 313,569.38, 432,728.02 and 170,329.48 is: 235,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,569.38 : 432,728.02 = 170,329.48 : x
  2. Step 2: Convert to fraction form
    313,569.38/432,728.02 = 170,329.48/x
  3. Step 3: Cross multiply
    313,569.38x = 432,728.02 × 170,329.48
  4. Step 4: Simplify right side
    313,569.38x = 73,706,340,193.22
  5. Step 5: Solve for x
    x = 73,706,340,193.22/313,569.38
  6. Step 6: Final answer
    x = 235,055.93

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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.