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Finding the Fourth Proportional to 349,606.13, 524,420.43 and 96,889.06

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Solution

The fourth proportional to 349,606.13, 524,420.43 and 96,889.06 is: 145,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,606.13 : 524,420.43 = 96,889.06 : x
  2. Step 2: Convert to fraction form
    349,606.13/524,420.43 = 96,889.06/x
  3. Step 3: Cross multiply
    349,606.13x = 524,420.43 × 96,889.06
  4. Step 4: Simplify right side
    349,606.13x = 50,810,602,799.69
  5. Step 5: Solve for x
    x = 50,810,602,799.69/349,606.13
  6. Step 6: Final answer
    x = 145,336.71

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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.