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Finding the Fourth Proportional to 614,129.94, 921,712.48 and 259,398.54

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Solution

The fourth proportional to 614,129.94, 921,712.48 and 259,398.54 is: 389,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,129.94 : 921,712.48 = 259,398.54 : x
  2. Step 2: Convert to fraction form
    614,129.94/921,712.48 = 259,398.54/x
  3. Step 3: Cross multiply
    614,129.94x = 921,712.48 × 259,398.54
  4. Step 4: Simplify right side
    614,129.94x = 239,090,871,611.78
  5. Step 5: Solve for x
    x = 239,090,871,611.78/614,129.94
  6. Step 6: Final answer
    x = 389,316.42

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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.