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Finding the Fourth Proportional to 412,498.50, 619,695.11 and 291,197.91

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Solution

The fourth proportional to 412,498.50, 619,695.11 and 291,197.91 is: 437,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,498.50 : 619,695.11 = 291,197.91 : x
  2. Step 2: Convert to fraction form
    412,498.50/619,695.11 = 291,197.91/x
  3. Step 3: Cross multiply
    412,498.50x = 619,695.11 × 291,197.91
  4. Step 4: Simplify right side
    412,498.50x = 180,453,920,540.19
  5. Step 5: Solve for x
    x = 180,453,920,540.19/412,498.50
  6. Step 6: Final answer
    x = 437,465.64

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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.