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Finding the Fourth Proportional to 864,563.60, 1,297,613.40 and 509,133.20

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Solution

The fourth proportional to 864,563.60, 1,297,613.40 and 509,133.20 is: 764,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,563.60 : 1,297,613.40 = 509,133.20 : x
  2. Step 2: Convert to fraction form
    864,563.60/1,297,613.40 = 509,133.20/x
  3. Step 3: Cross multiply
    864,563.60x = 1,297,613.40 × 509,133.20
  4. Step 4: Simplify right side
    864,563.60x = 660,658,062,704.88
  5. Step 5: Solve for x
    x = 660,658,062,704.88/864,563.60
  6. Step 6: Final answer
    x = 764,152.07

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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.