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Finding the Fourth Proportional to 438,093.29, 657,186.08 and 181,896.77

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Solution

The fourth proportional to 438,093.29, 657,186.08 and 181,896.77 is: 272,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,093.29 : 657,186.08 = 181,896.77 : x
  2. Step 2: Convert to fraction form
    438,093.29/657,186.08 = 181,896.77/x
  3. Step 3: Cross multiply
    438,093.29x = 657,186.08 × 181,896.77
  4. Step 4: Simplify right side
    438,093.29x = 119,540,021,045.55
  5. Step 5: Solve for x
    x = 119,540,021,045.55/438,093.29
  6. Step 6: Final answer
    x = 272,864.31

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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.