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Finding the Fourth Proportional to 349,221.36, 523,733.60 and 149,758.74

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Solution

The fourth proportional to 349,221.36, 523,733.60 and 149,758.74 is: 224,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,221.36 : 523,733.60 = 149,758.74 : x
  2. Step 2: Convert to fraction form
    349,221.36/523,733.60 = 149,758.74/x
  3. Step 3: Cross multiply
    349,221.36x = 523,733.60 × 149,758.74
  4. Step 4: Simplify right side
    349,221.36x = 78,433,684,031.66
  5. Step 5: Solve for x
    x = 78,433,684,031.66/349,221.36
  6. Step 6: Final answer
    x = 224,595.90

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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.