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Finding the Fourth Proportional to 349,664.15, 524,496.86 and 149,854.97

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Solution

The fourth proportional to 349,664.15, 524,496.86 and 149,854.97 is: 224,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,664.15 : 524,496.86 = 149,854.97 : x
  2. Step 2: Convert to fraction form
    349,664.15/524,496.86 = 149,854.97/x
  3. Step 3: Cross multiply
    349,664.15x = 524,496.86 × 149,854.97
  4. Step 4: Simplify right side
    349,664.15x = 78,598,461,220.39
  5. Step 5: Solve for x
    x = 78,598,461,220.39/349,664.15
  6. Step 6: Final answer
    x = 224,782.73

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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.