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Finding the Fourth Proportional to 298,336.48, 447,460.27 and 98,657.91

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Solution

The fourth proportional to 298,336.48, 447,460.27 and 98,657.91 is: 147,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,336.48 : 447,460.27 = 98,657.91 : x
  2. Step 2: Convert to fraction form
    298,336.48/447,460.27 = 98,657.91/x
  3. Step 3: Cross multiply
    298,336.48x = 447,460.27 × 98,657.91
  4. Step 4: Simplify right side
    298,336.48x = 44,145,494,799.59
  5. Step 5: Solve for x
    x = 44,145,494,799.59/298,336.48
  6. Step 6: Final answer
    x = 147,972.17

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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.