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Finding the Fourth Proportional to 797,658.24, 1,196,690.40 and 265,182.24

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Solution

The fourth proportional to 797,658.24, 1,196,690.40 and 265,182.24 is: 397,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,658.24 : 1,196,690.40 = 265,182.24 : x
  2. Step 2: Convert to fraction form
    797,658.24/1,196,690.40 = 265,182.24/x
  3. Step 3: Cross multiply
    797,658.24x = 1,196,690.40 × 265,182.24
  4. Step 4: Simplify right side
    797,658.24x = 317,341,040,858.50
  5. Step 5: Solve for x
    x = 317,341,040,858.50/797,658.24
  6. Step 6: Final answer
    x = 397,840.86

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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.