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Finding the Fourth Proportional to 713,458.80, 1,070,188.20 and 214,822.80

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Solution

The fourth proportional to 713,458.80, 1,070,188.20 and 214,822.80 is: 322,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,458.80 : 1,070,188.20 = 214,822.80 : x
  2. Step 2: Convert to fraction form
    713,458.80/1,070,188.20 = 214,822.80/x
  3. Step 3: Cross multiply
    713,458.80x = 1,070,188.20 × 214,822.80
  4. Step 4: Simplify right side
    713,458.80x = 229,900,825,650.96
  5. Step 5: Solve for x
    x = 229,900,825,650.96/713,458.80
  6. Step 6: Final answer
    x = 322,234.20

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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.