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Finding the Fourth Proportional to 310,935.91, 429,058.46 and 174,967.49

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Solution

The fourth proportional to 310,935.91, 429,058.46 and 174,967.49 is: 241,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,935.91 : 429,058.46 = 174,967.49 : x
  2. Step 2: Convert to fraction form
    310,935.91/429,058.46 = 174,967.49/x
  3. Step 3: Cross multiply
    310,935.91x = 429,058.46 × 174,967.49
  4. Step 4: Simplify right side
    310,935.91x = 75,071,280,101.59
  5. Step 5: Solve for x
    x = 75,071,280,101.59/310,935.91
  6. Step 6: Final answer
    x = 241,436.51

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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.