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Finding the Fourth Proportional to 294,776.22, 406,675.71 and 181,402.14

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Solution

The fourth proportional to 294,776.22, 406,675.71 and 181,402.14 is: 250,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,776.22 : 406,675.71 = 181,402.14 : x
  2. Step 2: Convert to fraction form
    294,776.22/406,675.71 = 181,402.14/x
  3. Step 3: Cross multiply
    294,776.22x = 406,675.71 × 181,402.14
  4. Step 4: Simplify right side
    294,776.22x = 73,771,844,080.02
  5. Step 5: Solve for x
    x = 73,771,844,080.02/294,776.22
  6. Step 6: Final answer
    x = 250,263.89

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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.