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Finding the Fourth Proportional to 333,498.34, 500,517.24 and 258,440.50

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Solution

The fourth proportional to 333,498.34, 500,517.24 and 258,440.50 is: 387,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,498.34 : 500,517.24 = 258,440.50 : x
  2. Step 2: Convert to fraction form
    333,498.34/500,517.24 = 258,440.50/x
  3. Step 3: Cross multiply
    333,498.34x = 500,517.24 × 258,440.50
  4. Step 4: Simplify right side
    333,498.34x = 129,353,925,764.22
  5. Step 5: Solve for x
    x = 129,353,925,764.22/333,498.34
  6. Step 6: Final answer
    x = 387,869.77

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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.