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Finding the Fourth Proportional to 465,698.72, 698,050.70 and 265,588.24

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Solution

The fourth proportional to 465,698.72, 698,050.70 and 265,588.24 is: 398,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,698.72 : 698,050.70 = 265,588.24 : x
  2. Step 2: Convert to fraction form
    465,698.72/698,050.70 = 265,588.24/x
  3. Step 3: Cross multiply
    465,698.72x = 698,050.70 × 265,588.24
  4. Step 4: Simplify right side
    465,698.72x = 185,394,056,843.77
  5. Step 5: Solve for x
    x = 185,394,056,843.77/465,698.72
  6. Step 6: Final answer
    x = 398,098.70

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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.