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Finding the Fourth Proportional to 354,914.50, 532,109.31 and 214,641.94

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Solution

The fourth proportional to 354,914.50, 532,109.31 and 214,641.94 is: 321,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,914.50 : 532,109.31 = 214,641.94 : x
  2. Step 2: Convert to fraction form
    354,914.50/532,109.31 = 214,641.94/x
  3. Step 3: Cross multiply
    354,914.50x = 532,109.31 × 214,641.94
  4. Step 4: Simplify right side
    354,914.50x = 114,212,974,590.46
  5. Step 5: Solve for x
    x = 114,212,974,590.46/354,914.50
  6. Step 6: Final answer
    x = 321,804.19

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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.