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Finding the Fourth Proportional to 354,265.40, 531,282.48 and 117,544.52

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Solution

The fourth proportional to 354,265.40, 531,282.48 and 117,544.52 is: 176,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,265.40 : 531,282.48 = 117,544.52 : x
  2. Step 2: Convert to fraction form
    354,265.40/531,282.48 = 117,544.52/x
  3. Step 3: Cross multiply
    354,265.40x = 531,282.48 × 117,544.52
  4. Step 4: Simplify right side
    354,265.40x = 62,449,344,096.01
  5. Step 5: Solve for x
    x = 62,449,344,096.01/354,265.40
  6. Step 6: Final answer
    x = 176,278.42

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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.