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Finding the Fourth Proportional to 471,381.74, 650,505.58 and 256,521.75

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Solution

The fourth proportional to 471,381.74, 650,505.58 and 256,521.75 is: 353,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,381.74 : 650,505.58 = 256,521.75 : x
  2. Step 2: Convert to fraction form
    471,381.74/650,505.58 = 256,521.75/x
  3. Step 3: Cross multiply
    471,381.74x = 650,505.58 × 256,521.75
  4. Step 4: Simplify right side
    471,381.74x = 166,868,829,766.37
  5. Step 5: Solve for x
    x = 166,868,829,766.37/471,381.74
  6. Step 6: Final answer
    x = 353,999.35

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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.