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Finding the Fourth Proportional to 415,976.75, 623,957.60 and 116,452.77

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Solution

The fourth proportional to 415,976.75, 623,957.60 and 116,452.77 is: 174,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,976.75 : 623,957.60 = 116,452.77 : x
  2. Step 2: Convert to fraction form
    415,976.75/623,957.60 = 116,452.77/x
  3. Step 3: Cross multiply
    415,976.75x = 623,957.60 × 116,452.77
  4. Step 4: Simplify right side
    415,976.75x = 72,661,590,300.29
  5. Step 5: Solve for x
    x = 72,661,590,300.29/415,976.75
  6. Step 6: Final answer
    x = 174,677.05

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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.