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Finding the Fourth Proportional to 5,309,461.63, 7,961,978.04 and 1,665,252.60

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Solution

The fourth proportional to 5,309,461.63, 7,961,978.04 and 1,665,252.60 is: 2,497,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309,461.63 : 7,961,978.04 = 1,665,252.60 : x
  2. Step 2: Convert to fraction form
    5,309,461.63/7,961,978.04 = 1,665,252.60/x
  3. Step 3: Cross multiply
    5,309,461.63x = 7,961,978.04 × 1,665,252.60
  4. Step 4: Simplify right side
    5,309,461.63x = 13,258,704,632,252.90
  5. Step 5: Solve for x
    x = 13,258,704,632,252.90/5,309,461.63
  6. Step 6: Final answer
    x = 2,497,184.38

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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.