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Finding the Fourth Proportional to 496,814.18, 745,331.22 and 181,270.17

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Solution

The fourth proportional to 496,814.18, 745,331.22 and 181,270.17 is: 271,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,814.18 : 745,331.22 = 181,270.17 : x
  2. Step 2: Convert to fraction form
    496,814.18/745,331.22 = 181,270.17/x
  3. Step 3: Cross multiply
    496,814.18x = 745,331.22 × 181,270.17
  4. Step 4: Simplify right side
    496,814.18x = 135,106,316,955.71
  5. Step 5: Solve for x
    x = 135,106,316,955.71/496,814.18
  6. Step 6: Final answer
    x = 271,945.37

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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.