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Finding the Fourth Proportional to 385,477.80, 578,216.70 and 259,506.60

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Solution

The fourth proportional to 385,477.80, 578,216.70 and 259,506.60 is: 389,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,477.80 : 578,216.70 = 259,506.60 : x
  2. Step 2: Convert to fraction form
    385,477.80/578,216.70 = 259,506.60/x
  3. Step 3: Cross multiply
    385,477.80x = 578,216.70 × 259,506.60
  4. Step 4: Simplify right side
    385,477.80x = 150,051,049,880.22
  5. Step 5: Solve for x
    x = 150,051,049,880.22/385,477.80
  6. Step 6: Final answer
    x = 389,259.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.