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Finding the Fourth Proportional to 326,051.10, 489,076.65 and 214,076.70

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Solution

The fourth proportional to 326,051.10, 489,076.65 and 214,076.70 is: 321,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,051.10 : 489,076.65 = 214,076.70 : x
  2. Step 2: Convert to fraction form
    326,051.10/489,076.65 = 214,076.70/x
  3. Step 3: Cross multiply
    326,051.10x = 489,076.65 × 214,076.70
  4. Step 4: Simplify right side
    326,051.10x = 104,699,915,279.06
  5. Step 5: Solve for x
    x = 104,699,915,279.06/326,051.10
  6. Step 6: Final answer
    x = 321,115.05

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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.