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Finding the Fourth Proportional to 298,562.68, 411,985.20 and 169,460.02

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Solution

The fourth proportional to 298,562.68, 411,985.20 and 169,460.02 is: 233,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,562.68 : 411,985.20 = 169,460.02 : x
  2. Step 2: Convert to fraction form
    298,562.68/411,985.20 = 169,460.02/x
  3. Step 3: Cross multiply
    298,562.68x = 411,985.20 × 169,460.02
  4. Step 4: Simplify right side
    298,562.68x = 69,815,020,231.70
  5. Step 5: Solve for x
    x = 69,815,020,231.70/298,562.68
  6. Step 6: Final answer
    x = 233,837.06

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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.