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Finding the Fourth Proportional to 6,178,322.16, 8,524,322.10 and 3,564,619.38

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Solution

The fourth proportional to 6,178,322.16, 8,524,322.10 and 3,564,619.38 is: 4,918,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,322.16 : 8,524,322.10 = 3,564,619.38 : x
  2. Step 2: Convert to fraction form
    6,178,322.16/8,524,322.10 = 3,564,619.38/x
  3. Step 3: Cross multiply
    6,178,322.16x = 8,524,322.10 × 3,564,619.38
  4. Step 4: Simplify right side
    6,178,322.16x = 30,385,963,759,022.30
  5. Step 5: Solve for x
    x = 30,385,963,759,022.30/6,178,322.16
  6. Step 6: Final answer
    x = 4,918,157.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.