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Finding the Fourth Proportional to 349,216.99, 523,387.23 and 149,302.41

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Solution

The fourth proportional to 349,216.99, 523,387.23 and 149,302.41 is: 223,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,216.99 : 523,387.23 = 149,302.41 : x
  2. Step 2: Convert to fraction form
    349,216.99/523,387.23 = 149,302.41/x
  3. Step 3: Cross multiply
    349,216.99x = 523,387.23 × 149,302.41
  4. Step 4: Simplify right side
    349,216.99x = 78,142,974,802.22
  5. Step 5: Solve for x
    x = 78,142,974,802.22/349,216.99
  6. Step 6: Final answer
    x = 223,766.25

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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.