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Finding the Fourth Proportional to 356,924.88, 535,358.16 and 120,262.32

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Solution

The fourth proportional to 356,924.88, 535,358.16 and 120,262.32 is: 180,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,924.88 : 535,358.16 = 120,262.32 : x
  2. Step 2: Convert to fraction form
    356,924.88/535,358.16 = 120,262.32/x
  3. Step 3: Cross multiply
    356,924.88x = 535,358.16 × 120,262.32
  4. Step 4: Simplify right side
    356,924.88x = 64,383,414,352.53
  5. Step 5: Solve for x
    x = 64,383,414,352.53/356,924.88
  6. Step 6: Final answer
    x = 180,383.65

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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.