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Finding the Fourth Proportional to 641,897.68, 962,940.42 and 192,654.08

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Solution

The fourth proportional to 641,897.68, 962,940.42 and 192,654.08 is: 289,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,897.68 : 962,940.42 = 192,654.08 : x
  2. Step 2: Convert to fraction form
    641,897.68/962,940.42 = 192,654.08/x
  3. Step 3: Cross multiply
    641,897.68x = 962,940.42 × 192,654.08
  4. Step 4: Simplify right side
    641,897.68x = 185,514,400,709.91
  5. Step 5: Solve for x
    x = 185,514,400,709.91/641,897.68
  6. Step 6: Final answer
    x = 289,009.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.