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Finding the Fourth Proportional to 274,347.34, 411,513.27 and 74,669.45

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Solution

The fourth proportional to 274,347.34, 411,513.27 and 74,669.45 is: 112,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347.34 : 411,513.27 = 74,669.45 : x
  2. Step 2: Convert to fraction form
    274,347.34/411,513.27 = 74,669.45/x
  3. Step 3: Cross multiply
    274,347.34x = 411,513.27 × 74,669.45
  4. Step 4: Simplify right side
    274,347.34x = 30,727,471,093.18
  5. Step 5: Solve for x
    x = 30,727,471,093.18/274,347.34
  6. Step 6: Final answer
    x = 112,002.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.