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Finding the Fourth Proportional to 322,534.17, 445,100.40 and 177,347.61

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Solution

The fourth proportional to 322,534.17, 445,100.40 and 177,347.61 is: 244,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,534.17 : 445,100.40 = 177,347.61 : x
  2. Step 2: Convert to fraction form
    322,534.17/445,100.40 = 177,347.61/x
  3. Step 3: Cross multiply
    322,534.17x = 445,100.40 × 177,347.61
  4. Step 4: Simplify right side
    322,534.17x = 78,937,492,150.04
  5. Step 5: Solve for x
    x = 78,937,492,150.04/322,534.17
  6. Step 6: Final answer
    x = 244,741.49

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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.