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Finding the Fourth Proportional to 326,208.25, 489,382.76 and 98,484.97

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Solution

The fourth proportional to 326,208.25, 489,382.76 and 98,484.97 is: 147,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,208.25 : 489,382.76 = 98,484.97 : x
  2. Step 2: Convert to fraction form
    326,208.25/489,382.76 = 98,484.97/x
  3. Step 3: Cross multiply
    326,208.25x = 489,382.76 × 98,484.97
  4. Step 4: Simplify right side
    326,208.25x = 48,196,846,437.12
  5. Step 5: Solve for x
    x = 48,196,846,437.12/326,208.25
  6. Step 6: Final answer
    x = 147,748.70

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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.