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Finding the Fourth Proportional to 614,252.34, 921,509.67 and 214,906.14

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Solution

The fourth proportional to 614,252.34, 921,509.67 and 214,906.14 is: 322,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,252.34 : 921,509.67 = 214,906.14 : x
  2. Step 2: Convert to fraction form
    614,252.34/921,509.67 = 214,906.14/x
  3. Step 3: Cross multiply
    614,252.34x = 921,509.67 × 214,906.14
  4. Step 4: Simplify right side
    614,252.34x = 198,038,086,152.37
  5. Step 5: Solve for x
    x = 198,038,086,152.37/614,252.34
  6. Step 6: Final answer
    x = 322,405.10

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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.