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Finding the Fourth Proportional to 298,988.48, 412,584.48 and 164,853.44

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Solution

The fourth proportional to 298,988.48, 412,584.48 and 164,853.44 is: 227,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,988.48 : 412,584.48 = 164,853.44 : x
  2. Step 2: Convert to fraction form
    298,988.48/412,584.48 = 164,853.44/x
  3. Step 3: Cross multiply
    298,988.48x = 412,584.48 × 164,853.44
  4. Step 4: Simplify right side
    298,988.48x = 68,015,970,818.61
  5. Step 5: Solve for x
    x = 68,015,970,818.61/298,988.48
  6. Step 6: Final answer
    x = 227,486.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.