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Finding the Fourth Proportional to 422,534.84, 633,831.53 and 169,815.53

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Solution

The fourth proportional to 422,534.84, 633,831.53 and 169,815.53 is: 254,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,534.84 : 633,831.53 = 169,815.53 : x
  2. Step 2: Convert to fraction form
    422,534.84/633,831.53 = 169,815.53/x
  3. Step 3: Cross multiply
    422,534.84x = 633,831.53 × 169,815.53
  4. Step 4: Simplify right side
    422,534.84x = 107,634,437,933.16
  5. Step 5: Solve for x
    x = 107,634,437,933.16/422,534.84
  6. Step 6: Final answer
    x = 254,735.06

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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.