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Finding the Fourth Proportional to 315,812.80, 435,816.38 and 172,569.54

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Solution

The fourth proportional to 315,812.80, 435,816.38 and 172,569.54 is: 238,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,812.80 : 435,816.38 = 172,569.54 : x
  2. Step 2: Convert to fraction form
    315,812.80/435,816.38 = 172,569.54/x
  3. Step 3: Cross multiply
    315,812.80x = 435,816.38 × 172,569.54
  4. Step 4: Simplify right side
    315,812.80x = 75,208,632,221.07
  5. Step 5: Solve for x
    x = 75,208,632,221.07/315,812.80
  6. Step 6: Final answer
    x = 238,143.08

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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.