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Finding the Fourth Proportional to 315,007.94, 434,701.38 and 171,770.78

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Solution

The fourth proportional to 315,007.94, 434,701.38 and 171,770.78 is: 237,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,007.94 : 434,701.38 = 171,770.78 : x
  2. Step 2: Convert to fraction form
    315,007.94/434,701.38 = 171,770.78/x
  3. Step 3: Cross multiply
    315,007.94x = 434,701.38 × 171,770.78
  4. Step 4: Simplify right side
    315,007.94x = 74,668,995,109.68
  5. Step 5: Solve for x
    x = 74,668,995,109.68/315,007.94
  6. Step 6: Final answer
    x = 237,038.45

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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.