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Finding the Fourth Proportional to 356,932.34, 535,447.92 and 120,342.68

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Solution

The fourth proportional to 356,932.34, 535,447.92 and 120,342.68 is: 180,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,932.34 : 535,447.92 = 120,342.68 : x
  2. Step 2: Convert to fraction form
    356,932.34/535,447.92 = 120,342.68/x
  3. Step 3: Cross multiply
    356,932.34x = 535,447.92 × 120,342.68
  4. Step 4: Simplify right side
    356,932.34x = 64,437,237,693.23
  5. Step 5: Solve for x
    x = 64,437,237,693.23/356,932.34
  6. Step 6: Final answer
    x = 180,530.68

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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.