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Finding the Fourth Proportional to 600,477.12, 828,196.80 and 419,131.20

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Solution

The fourth proportional to 600,477.12, 828,196.80 and 419,131.20 is: 578,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,477.12 : 828,196.80 = 419,131.20 : x
  2. Step 2: Convert to fraction form
    600,477.12/828,196.80 = 419,131.20/x
  3. Step 3: Cross multiply
    600,477.12x = 828,196.80 × 419,131.20
  4. Step 4: Simplify right side
    600,477.12x = 347,123,118,620.16
  5. Step 5: Solve for x
    x = 347,123,118,620.16/600,477.12
  6. Step 6: Final answer
    x = 578,078.84

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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.