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Finding the Fourth Proportional to 415,812.96, 623,680.56 and 116,320.32

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Solution

The fourth proportional to 415,812.96, 623,680.56 and 116,320.32 is: 174,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,812.96 : 623,680.56 = 116,320.32 : x
  2. Step 2: Convert to fraction form
    415,812.96/623,680.56 = 116,320.32/x
  3. Step 3: Cross multiply
    415,812.96x = 623,680.56 × 116,320.32
  4. Step 4: Simplify right side
    415,812.96x = 72,546,722,316.98
  5. Step 5: Solve for x
    x = 72,546,722,316.98/415,812.96
  6. Step 6: Final answer
    x = 174,469.60

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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.