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Finding the Fourth Proportional to 614,203.36, 921,388.20 and 214,750.24

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Solution

The fourth proportional to 614,203.36, 921,388.20 and 214,750.24 is: 322,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,203.36 : 921,388.20 = 214,750.24 : x
  2. Step 2: Convert to fraction form
    614,203.36/921,388.20 = 214,750.24/x
  3. Step 3: Cross multiply
    614,203.36x = 921,388.20 × 214,750.24
  4. Step 4: Simplify right side
    614,203.36x = 197,868,337,083.17
  5. Step 5: Solve for x
    x = 197,868,337,083.17/614,203.36
  6. Step 6: Final answer
    x = 322,154.44

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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.