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Finding the Fourth Proportional to 292,898.22, 404,285.47 and 170,419.42

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Solution

The fourth proportional to 292,898.22, 404,285.47 and 170,419.42 is: 235,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,898.22 : 404,285.47 = 170,419.42 : x
  2. Step 2: Convert to fraction form
    292,898.22/404,285.47 = 170,419.42/x
  3. Step 3: Cross multiply
    292,898.22x = 404,285.47 × 170,419.42
  4. Step 4: Simplify right side
    292,898.22x = 68,898,095,311.83
  5. Step 5: Solve for x
    x = 68,898,095,311.83/292,898.22
  6. Step 6: Final answer
    x = 235,228.79

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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.