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Finding the Fourth Proportional to 538,848.84, 743,606.82 and 297,141.60

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Solution

The fourth proportional to 538,848.84, 743,606.82 and 297,141.60 is: 410,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,848.84 : 743,606.82 = 297,141.60 : x
  2. Step 2: Convert to fraction form
    538,848.84/743,606.82 = 297,141.60/x
  3. Step 3: Cross multiply
    538,848.84x = 743,606.82 × 297,141.60
  4. Step 4: Simplify right side
    538,848.84x = 220,956,520,265.71
  5. Step 5: Solve for x
    x = 220,956,520,265.71/538,848.84
  6. Step 6: Final answer
    x = 410,052.88

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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.