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Finding the Fourth Proportional to 294,404.52, 406,331.24 and 173,538.64

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Solution

The fourth proportional to 294,404.52, 406,331.24 and 173,538.64 is: 239,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,404.52 : 406,331.24 = 173,538.64 : x
  2. Step 2: Convert to fraction form
    294,404.52/406,331.24 = 173,538.64/x
  3. Step 3: Cross multiply
    294,404.52x = 406,331.24 × 173,538.64
  4. Step 4: Simplify right side
    294,404.52x = 70,514,170,779.11
  5. Step 5: Solve for x
    x = 70,514,170,779.11/294,404.52
  6. Step 6: Final answer
    x = 239,514.57

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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.