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Finding the Fourth Proportional to 415,620.57, 623,168.25 and 175,609.77

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Solution

The fourth proportional to 415,620.57, 623,168.25 and 175,609.77 is: 263,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,620.57 : 623,168.25 = 175,609.77 : x
  2. Step 2: Convert to fraction form
    415,620.57/623,168.25 = 175,609.77/x
  3. Step 3: Cross multiply
    415,620.57x = 623,168.25 × 175,609.77
  4. Step 4: Simplify right side
    415,620.57x = 109,434,433,053.80
  5. Step 5: Solve for x
    x = 109,434,433,053.80/415,620.57
  6. Step 6: Final answer
    x = 263,303.70

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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.