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Finding the Fourth Proportional to 294,655.83, 406,614.22 and 180,126.28

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Solution

The fourth proportional to 294,655.83, 406,614.22 and 180,126.28 is: 248,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,655.83 : 406,614.22 = 180,126.28 : x
  2. Step 2: Convert to fraction form
    294,655.83/406,614.22 = 180,126.28/x
  3. Step 3: Cross multiply
    294,655.83x = 406,614.22 × 180,126.28
  4. Step 4: Simplify right side
    294,655.83x = 73,241,906,843.70
  5. Step 5: Solve for x
    x = 73,241,906,843.70/294,655.83
  6. Step 6: Final answer
    x = 248,567.65

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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.