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Finding the Fourth Proportional to 535,649.41, 803,521.30 and 198,693.66

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Solution

The fourth proportional to 535,649.41, 803,521.30 and 198,693.66 is: 298,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,649.41 : 803,521.30 = 198,693.66 : x
  2. Step 2: Convert to fraction form
    535,649.41/803,521.30 = 198,693.66/x
  3. Step 3: Cross multiply
    535,649.41x = 803,521.30 × 198,693.66
  4. Step 4: Simplify right side
    535,649.41x = 159,654,587,984.96
  5. Step 5: Solve for x
    x = 159,654,587,984.96/535,649.41
  6. Step 6: Final answer
    x = 298,057.99

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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.