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Finding the Fourth Proportional to 614,936.40, 922,577.40 and 299,403.60

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Solution

The fourth proportional to 614,936.40, 922,577.40 and 299,403.60 is: 449,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,936.40 : 922,577.40 = 299,403.60 : x
  2. Step 2: Convert to fraction form
    614,936.40/922,577.40 = 299,403.60/x
  3. Step 3: Cross multiply
    614,936.40x = 922,577.40 × 299,403.60
  4. Step 4: Simplify right side
    614,936.40x = 276,222,994,838.64
  5. Step 5: Solve for x
    x = 276,222,994,838.64/614,936.40
  6. Step 6: Final answer
    x = 449,189.53

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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.