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Finding the Fourth Proportional to 297,175, 410,108.70 and 163,039

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Solution

The fourth proportional to 297,175, 410,108.70 and 163,039 is: 224,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,175 : 410,108.70 = 163,039 : x
  2. Step 2: Convert to fraction form
    297,175/410,108.70 = 163,039/x
  3. Step 3: Cross multiply
    297,175x = 410,108.70 × 163,039
  4. Step 4: Simplify right side
    297,175x = 66,863,712,339.30
  5. Step 5: Solve for x
    x = 66,863,712,339.30/297,175
  6. Step 6: Final answer
    x = 224,997.77

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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.