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Finding the Fourth Proportional to 264,345.52, 396,518.84 and 185,811.16

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Solution

The fourth proportional to 264,345.52, 396,518.84 and 185,811.16 is: 278,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,345.52 : 396,518.84 = 185,811.16 : x
  2. Step 2: Convert to fraction form
    264,345.52/396,518.84 = 185,811.16/x
  3. Step 3: Cross multiply
    264,345.52x = 396,518.84 × 185,811.16
  4. Step 4: Simplify right side
    264,345.52x = 73,677,625,622.25
  5. Step 5: Solve for x
    x = 73,677,625,622.25/264,345.52
  6. Step 6: Final answer
    x = 278,717.13

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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.