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Finding the Fourth Proportional to 415,174.88, 572,723.04 and 262,157.84

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Solution

The fourth proportional to 415,174.88, 572,723.04 and 262,157.84 is: 361,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,174.88 : 572,723.04 = 262,157.84 : x
  2. Step 2: Convert to fraction form
    415,174.88/572,723.04 = 262,157.84/x
  3. Step 3: Cross multiply
    415,174.88x = 572,723.04 × 262,157.84
  4. Step 4: Simplify right side
    415,174.88x = 150,143,835,084.63
  5. Step 5: Solve for x
    x = 150,143,835,084.63/415,174.88
  6. Step 6: Final answer
    x = 361,639.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.