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Finding the Fourth Proportional to 421,672.01, 582,261.95 and 301,182.89

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Solution

The fourth proportional to 421,672.01, 582,261.95 and 301,182.89 is: 415,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,672.01 : 582,261.95 = 301,182.89 : x
  2. Step 2: Convert to fraction form
    421,672.01/582,261.95 = 301,182.89/x
  3. Step 3: Cross multiply
    421,672.01x = 582,261.95 × 301,182.89
  4. Step 4: Simplify right side
    421,672.01x = 175,367,334,679.68
  5. Step 5: Solve for x
    x = 175,367,334,679.68/421,672.01
  6. Step 6: Final answer
    x = 415,885.65

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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.