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Finding the Fourth Proportional to 539,810.92, 809,725.98 and 165,837.16

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Solution

The fourth proportional to 539,810.92, 809,725.98 and 165,837.16 is: 248,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,810.92 : 809,725.98 = 165,837.16 : x
  2. Step 2: Convert to fraction form
    539,810.92/809,725.98 = 165,837.16/x
  3. Step 3: Cross multiply
    539,810.92x = 809,725.98 × 165,837.16
  4. Step 4: Simplify right side
    539,810.92x = 134,282,656,901.42
  5. Step 5: Solve for x
    x = 134,282,656,901.42/539,810.92
  6. Step 6: Final answer
    x = 248,758.69

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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.