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Finding the Fourth Proportional to 538,270.40, 807,259.80 and 159,190.40

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Solution

The fourth proportional to 538,270.40, 807,259.80 and 159,190.40 is: 238,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,270.40 : 807,259.80 = 159,190.40 : x
  2. Step 2: Convert to fraction form
    538,270.40/807,259.80 = 159,190.40/x
  3. Step 3: Cross multiply
    538,270.40x = 807,259.80 × 159,190.40
  4. Step 4: Simplify right side
    538,270.40x = 128,508,010,465.92
  5. Step 5: Solve for x
    x = 128,508,010,465.92/538,270.40
  6. Step 6: Final answer
    x = 238,742.48

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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.