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Finding the Fourth Proportional to 294,199.73, 405,963.14 and 165,108.59

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Solution

The fourth proportional to 294,199.73, 405,963.14 and 165,108.59 is: 227,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,199.73 : 405,963.14 = 165,108.59 : x
  2. Step 2: Convert to fraction form
    294,199.73/405,963.14 = 165,108.59/x
  3. Step 3: Cross multiply
    294,199.73x = 405,963.14 × 165,108.59
  4. Step 4: Simplify right side
    294,199.73x = 67,028,001,637.37
  5. Step 5: Solve for x
    x = 67,028,001,637.37/294,199.73
  6. Step 6: Final answer
    x = 227,831.62

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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.