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Finding the Fourth Proportional to 298,713.39, 412,224.30 and 164,577.39

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Solution

The fourth proportional to 298,713.39, 412,224.30 and 164,577.39 is: 227,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,713.39 : 412,224.30 = 164,577.39 : x
  2. Step 2: Convert to fraction form
    298,713.39/412,224.30 = 164,577.39/x
  3. Step 3: Cross multiply
    298,713.39x = 412,224.30 × 164,577.39
  4. Step 4: Simplify right side
    298,713.39x = 67,842,799,388.58
  5. Step 5: Solve for x
    x = 67,842,799,388.58/298,713.39
  6. Step 6: Final answer
    x = 227,116.70

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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.