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Finding the Fourth Proportional to 349,004.84, 523,444.89 and 92,838.80

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Solution

The fourth proportional to 349,004.84, 523,444.89 and 92,838.80 is: 139,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,004.84 : 523,444.89 = 92,838.80 : x
  2. Step 2: Convert to fraction form
    349,004.84/523,444.89 = 92,838.80/x
  3. Step 3: Cross multiply
    349,004.84x = 523,444.89 × 92,838.80
  4. Step 4: Simplify right side
    349,004.84x = 48,595,996,762.34
  5. Step 5: Solve for x
    x = 48,595,996,762.34/349,004.84
  6. Step 6: Final answer
    x = 139,241.61

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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.