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Finding the Fourth Proportional to 315,272.14, 435,076.68 and 172,035.34

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Solution

The fourth proportional to 315,272.14, 435,076.68 and 172,035.34 is: 237,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,272.14 : 435,076.68 = 172,035.34 : x
  2. Step 2: Convert to fraction form
    315,272.14/435,076.68 = 172,035.34/x
  3. Step 3: Cross multiply
    315,272.14x = 435,076.68 × 172,035.34
  4. Step 4: Simplify right side
    315,272.14x = 74,848,564,569.87
  5. Step 5: Solve for x
    x = 74,848,564,569.87/315,272.14
  6. Step 6: Final answer
    x = 237,409.38

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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.