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Finding the Fourth Proportional to 349,117.98, 523,188.80 and 188,847.92

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Solution

The fourth proportional to 349,117.98, 523,188.80 and 188,847.92 is: 283,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,117.98 : 523,188.80 = 188,847.92 : x
  2. Step 2: Convert to fraction form
    349,117.98/523,188.80 = 188,847.92/x
  3. Step 3: Cross multiply
    349,117.98x = 523,188.80 × 188,847.92
  4. Step 4: Simplify right side
    349,117.98x = 98,803,116,647.30
  5. Step 5: Solve for x
    x = 98,803,116,647.30/349,117.98
  6. Step 6: Final answer
    x = 283,007.81

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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.