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Finding the Fourth Proportional to 464,833.98, 697,545.88 and 198,596.52

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Solution

The fourth proportional to 464,833.98, 697,545.88 and 198,596.52 is: 298,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,833.98 : 697,545.88 = 198,596.52 : x
  2. Step 2: Convert to fraction form
    464,833.98/697,545.88 = 198,596.52/x
  3. Step 3: Cross multiply
    464,833.98x = 697,545.88 × 198,596.52
  4. Step 4: Simplify right side
    464,833.98x = 138,530,184,308.34
  5. Step 5: Solve for x
    x = 138,530,184,308.34/464,833.98
  6. Step 6: Final answer
    x = 298,020.78

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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.