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Finding the Fourth Proportional to 294,913.38, 406,852.12 and 187,425.84

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Solution

The fourth proportional to 294,913.38, 406,852.12 and 187,425.84 is: 258,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,913.38 : 406,852.12 = 187,425.84 : x
  2. Step 2: Convert to fraction form
    294,913.38/406,852.12 = 187,425.84/x
  3. Step 3: Cross multiply
    294,913.38x = 406,852.12 × 187,425.84
  4. Step 4: Simplify right side
    294,913.38x = 76,254,600,346.78
  5. Step 5: Solve for x
    x = 76,254,600,346.78/294,913.38
  6. Step 6: Final answer
    x = 258,566.09

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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.