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Finding the Fourth Proportional to 298,468.52, 411,876.83 and 169,417.29

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Solution

The fourth proportional to 298,468.52, 411,876.83 and 169,417.29 is: 233,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,468.52 : 411,876.83 = 169,417.29 : x
  2. Step 2: Convert to fraction form
    298,468.52/411,876.83 = 169,417.29/x
  3. Step 3: Cross multiply
    298,468.52x = 411,876.83 × 169,417.29
  4. Step 4: Simplify right side
    298,468.52x = 69,779,056,775.93
  5. Step 5: Solve for x
    x = 69,779,056,775.93/298,468.52
  6. Step 6: Final answer
    x = 233,790.34

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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.