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Finding the Fourth Proportional to 298,645.68, 412,131.04 and 164,509.68

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Solution

The fourth proportional to 298,645.68, 412,131.04 and 164,509.68 is: 227,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,645.68 : 412,131.04 = 164,509.68 : x
  2. Step 2: Convert to fraction form
    298,645.68/412,131.04 = 164,509.68/x
  3. Step 3: Cross multiply
    298,645.68x = 412,131.04 × 164,509.68
  4. Step 4: Simplify right side
    298,645.68x = 67,799,545,508.47
  5. Step 5: Solve for x
    x = 67,799,545,508.47/298,645.68
  6. Step 6: Final answer
    x = 227,023.36

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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.