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Finding the Fourth Proportional to 315,015.48, 434,731.86 and 171,783.38

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Solution

The fourth proportional to 315,015.48, 434,731.86 and 171,783.38 is: 237,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,015.48 : 434,731.86 = 171,783.38 : x
  2. Step 2: Convert to fraction form
    315,015.48/434,731.86 = 171,783.38/x
  3. Step 3: Cross multiply
    315,015.48x = 434,731.86 × 171,783.38
  4. Step 4: Simplify right side
    315,015.48x = 74,679,709,391.32
  5. Step 5: Solve for x
    x = 74,679,709,391.32/315,015.48
  6. Step 6: Final answer
    x = 237,066.79

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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.