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Finding the Fourth Proportional to 580,762.08, 871,266.24 and 206,784

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Solution

The fourth proportional to 580,762.08, 871,266.24 and 206,784 is: 310,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,762.08 : 871,266.24 = 206,784 : x
  2. Step 2: Convert to fraction form
    580,762.08/871,266.24 = 206,784/x
  3. Step 3: Cross multiply
    580,762.08x = 871,266.24 × 206,784
  4. Step 4: Simplify right side
    580,762.08x = 180,163,918,172.16
  5. Step 5: Solve for x
    x = 180,163,918,172.16/580,762.08
  6. Step 6: Final answer
    x = 310,219.84

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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.