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Finding the Fourth Proportional to 415,792.27, 623,682.93 and 100,246.64

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Solution

The fourth proportional to 415,792.27, 623,682.93 and 100,246.64 is: 150,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,792.27 : 623,682.93 = 100,246.64 : x
  2. Step 2: Convert to fraction form
    415,792.27/623,682.93 = 100,246.64/x
  3. Step 3: Cross multiply
    415,792.27x = 623,682.93 × 100,246.64
  4. Step 4: Simplify right side
    415,792.27x = 62,522,118,157.86
  5. Step 5: Solve for x
    x = 62,522,118,157.86/415,792.27
  6. Step 6: Final answer
    x = 150,368.64

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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.