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Finding the Fourth Proportional to 264,347.52, 396,521.82 and 185,813.16

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Solution

The fourth proportional to 264,347.52, 396,521.82 and 185,813.16 is: 278,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,347.52 : 396,521.82 = 185,813.16 : x
  2. Step 2: Convert to fraction form
    264,347.52/396,521.82 = 185,813.16/x
  3. Step 3: Cross multiply
    264,347.52x = 396,521.82 × 185,813.16
  4. Step 4: Simplify right side
    264,347.52x = 73,678,972,383.15
  5. Step 5: Solve for x
    x = 73,678,972,383.15/264,347.52
  6. Step 6: Final answer
    x = 278,720.12

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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.