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Finding the Fourth Proportional to 298,047.32, 411,160.63 and 177,102.96

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Solution

The fourth proportional to 298,047.32, 411,160.63 and 177,102.96 is: 244,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.32 : 411,160.63 = 177,102.96 : x
  2. Step 2: Convert to fraction form
    298,047.32/411,160.63 = 177,102.96/x
  3. Step 3: Cross multiply
    298,047.32x = 411,160.63 × 177,102.96
  4. Step 4: Simplify right side
    298,047.32x = 72,817,763,454.03
  5. Step 5: Solve for x
    x = 72,817,763,454.03/298,047.32
  6. Step 6: Final answer
    x = 244,316.11

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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.