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Finding the Fourth Proportional to 651,098.79, 976,698.68 and 195,654.47

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Solution

The fourth proportional to 651,098.79, 976,698.68 and 195,654.47 is: 293,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,098.79 : 976,698.68 = 195,654.47 : x
  2. Step 2: Convert to fraction form
    651,098.79/976,698.68 = 195,654.47/x
  3. Step 3: Cross multiply
    651,098.79x = 976,698.68 × 195,654.47
  4. Step 4: Simplify right side
    651,098.79x = 191,095,456,723.33
  5. Step 5: Solve for x
    x = 191,095,456,723.33/651,098.79
  6. Step 6: Final answer
    x = 293,496.87

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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.