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Finding the Fourth Proportional to 463,843.40, 695,246.70 and 264,259.40

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Solution

The fourth proportional to 463,843.40, 695,246.70 and 264,259.40 is: 396,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,843.40 : 695,246.70 = 264,259.40 : x
  2. Step 2: Convert to fraction form
    463,843.40/695,246.70 = 264,259.40/x
  3. Step 3: Cross multiply
    463,843.40x = 695,246.70 × 264,259.40
  4. Step 4: Simplify right side
    463,843.40x = 183,725,475,793.98
  5. Step 5: Solve for x
    x = 183,725,475,793.98/463,843.40
  6. Step 6: Final answer
    x = 396,093.76

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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.