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Finding the Fourth Proportional to 614,053.44, 921,015.36 and 164,820.96

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Solution

The fourth proportional to 614,053.44, 921,015.36 and 164,820.96 is: 247,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,053.44 : 921,015.36 = 164,820.96 : x
  2. Step 2: Convert to fraction form
    614,053.44/921,015.36 = 164,820.96/x
  3. Step 3: Cross multiply
    614,053.44x = 921,015.36 × 164,820.96
  4. Step 4: Simplify right side
    614,053.44x = 151,802,635,809.95
  5. Step 5: Solve for x
    x = 151,802,635,809.95/614,053.44
  6. Step 6: Final answer
    x = 247,214.05

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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.