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Finding the Fourth Proportional to 284,764.60, 427,185.30 and 97,833.40

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Solution

The fourth proportional to 284,764.60, 427,185.30 and 97,833.40 is: 146,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,764.60 : 427,185.30 = 97,833.40 : x
  2. Step 2: Convert to fraction form
    284,764.60/427,185.30 = 97,833.40/x
  3. Step 3: Cross multiply
    284,764.60x = 427,185.30 × 97,833.40
  4. Step 4: Simplify right side
    284,764.60x = 41,792,990,329.02
  5. Step 5: Solve for x
    x = 41,792,990,329.02/284,764.60
  6. Step 6: Final answer
    x = 146,763.29

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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.