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Finding the Fourth Proportional to 299,377.04, 413,130.04 and 178,455.96

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Solution

The fourth proportional to 299,377.04, 413,130.04 and 178,455.96 is: 246,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,377.04 : 413,130.04 = 178,455.96 : x
  2. Step 2: Convert to fraction form
    299,377.04/413,130.04 = 178,455.96/x
  3. Step 3: Cross multiply
    299,377.04x = 413,130.04 × 178,455.96
  4. Step 4: Simplify right side
    299,377.04x = 73,725,517,893.04
  5. Step 5: Solve for x
    x = 73,725,517,893.04/299,377.04
  6. Step 6: Final answer
    x = 246,263.10

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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.