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Finding the Fourth Proportional to 344,294.37, 475,088.50 and 199,078.17

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Solution

The fourth proportional to 344,294.37, 475,088.50 and 199,078.17 is: 274,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,294.37 : 475,088.50 = 199,078.17 : x
  2. Step 2: Convert to fraction form
    344,294.37/475,088.50 = 199,078.17/x
  3. Step 3: Cross multiply
    344,294.37x = 475,088.50 × 199,078.17
  4. Step 4: Simplify right side
    344,294.37x = 94,579,749,484.80
  5. Step 5: Solve for x
    x = 94,579,749,484.80/344,294.37
  6. Step 6: Final answer
    x = 274,706.06

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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.