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Finding the Fourth Proportional to 354,564.64, 531,731.52 and 117,843.76

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Solution

The fourth proportional to 354,564.64, 531,731.52 and 117,843.76 is: 176,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,564.64 : 531,731.52 = 117,843.76 : x
  2. Step 2: Convert to fraction form
    354,564.64/531,731.52 = 117,843.76/x
  3. Step 3: Cross multiply
    354,564.64x = 531,731.52 × 117,843.76
  4. Step 4: Simplify right side
    354,564.64x = 62,661,241,627.32
  5. Step 5: Solve for x
    x = 62,661,241,627.32/354,564.64
  6. Step 6: Final answer
    x = 176,727.27

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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.