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Finding the Fourth Proportional to 294,781.48, 406,682.96 and 181,407.40

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Solution

The fourth proportional to 294,781.48, 406,682.96 and 181,407.40 is: 250,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,781.48 : 406,682.96 = 181,407.40 : x
  2. Step 2: Convert to fraction form
    294,781.48/406,682.96 = 181,407.40/x
  3. Step 3: Cross multiply
    294,781.48x = 406,682.96 × 181,407.40
  4. Step 4: Simplify right side
    294,781.48x = 73,775,298,397.90
  5. Step 5: Solve for x
    x = 73,775,298,397.90/294,781.48
  6. Step 6: Final answer
    x = 250,271.14

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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.