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Finding the Fourth Proportional to 305,977.41, 422,127.86 and 176,892.12

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Solution

The fourth proportional to 305,977.41, 422,127.86 and 176,892.12 is: 244,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,977.41 : 422,127.86 = 176,892.12 : x
  2. Step 2: Convert to fraction form
    305,977.41/422,127.86 = 176,892.12/x
  3. Step 3: Cross multiply
    305,977.41x = 422,127.86 × 176,892.12
  4. Step 4: Simplify right side
    305,977.41x = 74,671,092,066.46
  5. Step 5: Solve for x
    x = 74,671,092,066.46/305,977.41
  6. Step 6: Final answer
    x = 244,041.19

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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.