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Finding the Fourth Proportional to 294,794.35, 406,830.65 and 165,773.45

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Solution

The fourth proportional to 294,794.35, 406,830.65 and 165,773.45 is: 228,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,794.35 : 406,830.65 = 165,773.45 : x
  2. Step 2: Convert to fraction form
    294,794.35/406,830.65 = 165,773.45/x
  3. Step 3: Cross multiply
    294,794.35x = 406,830.65 × 165,773.45
  4. Step 4: Simplify right side
    294,794.35x = 67,441,721,536.93
  5. Step 5: Solve for x
    x = 67,441,721,536.93/294,794.35
  6. Step 6: Final answer
    x = 228,775.49

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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.