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Finding the Fourth Proportional to 294,559.61, 406,481.69 and 180,029.86

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Solution

The fourth proportional to 294,559.61, 406,481.69 and 180,029.86 is: 248,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.61 : 406,481.69 = 180,029.86 : x
  2. Step 2: Convert to fraction form
    294,559.61/406,481.69 = 180,029.86/x
  3. Step 3: Cross multiply
    294,559.61x = 406,481.69 × 180,029.86
  4. Step 4: Simplify right side
    294,559.61x = 73,178,841,177.13
  5. Step 5: Solve for x
    x = 73,178,841,177.13/294,559.61
  6. Step 6: Final answer
    x = 248,434.75

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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.