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Finding the Fourth Proportional to 260,031.20, 364,831 and 260,031.20

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Solution

The fourth proportional to 260,031.20, 364,831 and 260,031.20 is: 364,831

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.20 : 364,831 = 260,031.20 : x
  2. Step 2: Convert to fraction form
    260,031.20/364,831 = 260,031.20/x
  3. Step 3: Cross multiply
    260,031.20x = 364,831 × 260,031.20
  4. Step 4: Simplify right side
    260,031.20x = 94,867,442,727.20
  5. Step 5: Solve for x
    x = 94,867,442,727.20/260,031.20
  6. Step 6: Final answer
    x = 364,831

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.