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Finding the Fourth Proportional to 292,288.60, 438,432.90 and 114,736.60

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Solution

The fourth proportional to 292,288.60, 438,432.90 and 114,736.60 is: 172,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,288.60 : 438,432.90 = 114,736.60 : x
  2. Step 2: Convert to fraction form
    292,288.60/438,432.90 = 114,736.60/x
  3. Step 3: Cross multiply
    292,288.60x = 438,432.90 × 114,736.60
  4. Step 4: Simplify right side
    292,288.60x = 50,304,300,274.14
  5. Step 5: Solve for x
    x = 50,304,300,274.14/292,288.60
  6. Step 6: Final answer
    x = 172,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.