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Finding the Fourth Proportional to 349,664, 524,497.92 and 87,008

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Solution

The fourth proportional to 349,664, 524,497.92 and 87,008 is: 130,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,664 : 524,497.92 = 87,008 : x
  2. Step 2: Convert to fraction form
    349,664/524,497.92 = 87,008/x
  3. Step 3: Cross multiply
    349,664x = 524,497.92 × 87,008
  4. Step 4: Simplify right side
    349,664x = 45,635,515,023.36
  5. Step 5: Solve for x
    x = 45,635,515,023.36/349,664
  6. Step 6: Final answer
    x = 130,512.48

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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.