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Finding the Fourth Proportional to 271,810.70, 407,716.05 and 229,820.30

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Solution

The fourth proportional to 271,810.70, 407,716.05 and 229,820.30 is: 344,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810.70 : 407,716.05 = 229,820.30 : x
  2. Step 2: Convert to fraction form
    271,810.70/407,716.05 = 229,820.30/x
  3. Step 3: Cross multiply
    271,810.70x = 407,716.05 × 229,820.30
  4. Step 4: Simplify right side
    271,810.70x = 93,701,424,925.82
  5. Step 5: Solve for x
    x = 93,701,424,925.82/271,810.70
  6. Step 6: Final answer
    x = 344,730.45

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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.