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Finding the Fourth Proportional to 461,042.91, 691,398 and 194,823.99

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Solution

The fourth proportional to 461,042.91, 691,398 and 194,823.99 is: 292,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,042.91 : 691,398 = 194,823.99 : x
  2. Step 2: Convert to fraction form
    461,042.91/691,398 = 194,823.99/x
  3. Step 3: Cross multiply
    461,042.91x = 691,398 × 194,823.99
  4. Step 4: Simplify right side
    461,042.91x = 134,700,917,038.02
  5. Step 5: Solve for x
    x = 134,700,917,038.02/461,042.91
  6. Step 6: Final answer
    x = 292,165.68

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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.