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Finding the Fourth Proportional to 271,560, 374,752.80 and 165,576

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Solution

The fourth proportional to 271,560, 374,752.80 and 165,576 is: 228,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,560 : 374,752.80 = 165,576 : x
  2. Step 2: Convert to fraction form
    271,560/374,752.80 = 165,576/x
  3. Step 3: Cross multiply
    271,560x = 374,752.80 × 165,576
  4. Step 4: Simplify right side
    271,560x = 62,050,069,612.80
  5. Step 5: Solve for x
    x = 62,050,069,612.80/271,560
  6. Step 6: Final answer
    x = 228,494.88

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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.