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Finding the Fourth Proportional to 429,194.70, 592,103.79 and 259,330.50

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Solution

The fourth proportional to 429,194.70, 592,103.79 and 259,330.50 is: 357,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,194.70 : 592,103.79 = 259,330.50 : x
  2. Step 2: Convert to fraction form
    429,194.70/592,103.79 = 259,330.50/x
  3. Step 3: Cross multiply
    429,194.70x = 592,103.79 × 259,330.50
  4. Step 4: Simplify right side
    429,194.70x = 153,550,571,912.60
  5. Step 5: Solve for x
    x = 153,550,571,912.60/429,194.70
  6. Step 6: Final answer
    x = 357,764.37

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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.