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Finding the Fourth Proportional to 684,994.95, 945,673.04 and 413,131.41

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Solution

The fourth proportional to 684,994.95, 945,673.04 and 413,131.41 is: 570,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,994.95 : 945,673.04 = 413,131.41 : x
  2. Step 2: Convert to fraction form
    684,994.95/945,673.04 = 413,131.41/x
  3. Step 3: Cross multiply
    684,994.95x = 945,673.04 × 413,131.41
  4. Step 4: Simplify right side
    684,994.95x = 390,687,237,447.02
  5. Step 5: Solve for x
    x = 390,687,237,447.02/684,994.95
  6. Step 6: Final answer
    x = 570,350.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.