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Finding the Fourth Proportional to 538,422.40, 807,487.80 and 159,342.40

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Solution

The fourth proportional to 538,422.40, 807,487.80 and 159,342.40 is: 238,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,422.40 : 807,487.80 = 159,342.40 : x
  2. Step 2: Convert to fraction form
    538,422.40/807,487.80 = 159,342.40/x
  3. Step 3: Cross multiply
    538,422.40x = 807,487.80 × 159,342.40
  4. Step 4: Simplify right side
    538,422.40x = 128,667,044,022.72
  5. Step 5: Solve for x
    x = 128,667,044,022.72/538,422.40
  6. Step 6: Final answer
    x = 238,970.45

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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.