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Finding the Fourth Proportional to 298,009.50, 411,244.43 and 168,959.89

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Solution

The fourth proportional to 298,009.50, 411,244.43 and 168,959.89 is: 233,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,009.50 : 411,244.43 = 168,959.89 : x
  2. Step 2: Convert to fraction form
    298,009.50/411,244.43 = 168,959.89/x
  3. Step 3: Cross multiply
    298,009.50x = 411,244.43 × 168,959.89
  4. Step 4: Simplify right side
    298,009.50x = 69,483,813,325.17
  5. Step 5: Solve for x
    x = 69,483,813,325.17/298,009.50
  6. Step 6: Final answer
    x = 233,159.73

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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.