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Finding the Fourth Proportional to 5,308,476.64, 7,961,420.83 and 1,470,199.30

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Solution

The fourth proportional to 5,308,476.64, 7,961,420.83 and 1,470,199.30 is: 2,204,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308,476.64 : 7,961,420.83 = 1,470,199.30 : x
  2. Step 2: Convert to fraction form
    5,308,476.64/7,961,420.83 = 1,470,199.30/x
  3. Step 3: Cross multiply
    5,308,476.64x = 7,961,420.83 × 1,470,199.30
  4. Step 4: Simplify right side
    5,308,476.64x = 11,704,875,331,271.42
  5. Step 5: Solve for x
    x = 11,704,875,331,271.42/5,308,476.64
  6. Step 6: Final answer
    x = 2,204,940.54

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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.