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Finding the Fourth Proportional to 349,495.70, 482,188.05 and 284,853.92

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Solution

The fourth proportional to 349,495.70, 482,188.05 and 284,853.92 is: 393,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495.70 : 482,188.05 = 284,853.92 : x
  2. Step 2: Convert to fraction form
    349,495.70/482,188.05 = 284,853.92/x
  3. Step 3: Cross multiply
    349,495.70x = 482,188.05 × 284,853.92
  4. Step 4: Simplify right side
    349,495.70x = 137,353,153,808.72
  5. Step 5: Solve for x
    x = 137,353,153,808.72/349,495.70
  6. Step 6: Final answer
    x = 393,003.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.