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Finding the Fourth Proportional to 294,860.20, 406,886.82 and 165,801.64

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Solution

The fourth proportional to 294,860.20, 406,886.82 and 165,801.64 is: 228,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,860.20 : 406,886.82 = 165,801.64 : x
  2. Step 2: Convert to fraction form
    294,860.20/406,886.82 = 165,801.64/x
  3. Step 3: Cross multiply
    294,860.20x = 406,886.82 × 165,801.64
  4. Step 4: Simplify right side
    294,860.20x = 67,462,502,050.38
  5. Step 5: Solve for x
    x = 67,462,502,050.38/294,860.20
  6. Step 6: Final answer
    x = 228,794.87

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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.