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Finding the Fourth Proportional to 294,785.22, 406,688.13 and 181,411.14

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Solution

The fourth proportional to 294,785.22, 406,688.13 and 181,411.14 is: 250,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,785.22 : 406,688.13 = 181,411.14 : x
  2. Step 2: Convert to fraction form
    294,785.22/406,688.13 = 181,411.14/x
  3. Step 3: Cross multiply
    294,785.22x = 406,688.13 × 181,411.14
  4. Step 4: Simplify right side
    294,785.22x = 73,777,757,287.77
  5. Step 5: Solve for x
    x = 73,777,757,287.77/294,785.22
  6. Step 6: Final answer
    x = 250,276.31

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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.