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Finding the Fourth Proportional to 299,354.04, 413,029.67 and 170,293.68

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Solution

The fourth proportional to 299,354.04, 413,029.67 and 170,293.68 is: 234,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,354.04 : 413,029.67 = 170,293.68 : x
  2. Step 2: Convert to fraction form
    299,354.04/413,029.67 = 170,293.68/x
  3. Step 3: Cross multiply
    299,354.04x = 413,029.67 × 170,293.68
  4. Step 4: Simplify right side
    299,354.04x = 70,336,341,602.02
  5. Step 5: Solve for x
    x = 70,336,341,602.02/299,354.04
  6. Step 6: Final answer
    x = 234,960.39

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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.