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Finding the Fourth Proportional to 664,095.60, 996,013.80 and 214,707.60

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Solution

The fourth proportional to 664,095.60, 996,013.80 and 214,707.60 is: 322,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,095.60 : 996,013.80 = 214,707.60 : x
  2. Step 2: Convert to fraction form
    664,095.60/996,013.80 = 214,707.60/x
  3. Step 3: Cross multiply
    664,095.60x = 996,013.80 × 214,707.60
  4. Step 4: Simplify right side
    664,095.60x = 213,851,732,564.88
  5. Step 5: Solve for x
    x = 213,851,732,564.88/664,095.60
  6. Step 6: Final answer
    x = 322,019.50

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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.