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Finding the Fourth Proportional to 5,893,568.16, 8,839,476.24 and 1,633,292.16

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Solution

The fourth proportional to 5,893,568.16, 8,839,476.24 and 1,633,292.16 is: 2,449,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893,568.16 : 8,839,476.24 = 1,633,292.16 : x
  2. Step 2: Convert to fraction form
    5,893,568.16/8,839,476.24 = 1,633,292.16/x
  3. Step 3: Cross multiply
    5,893,568.16x = 8,839,476.24 × 1,633,292.16
  4. Step 4: Simplify right side
    5,893,568.16x = 14,437,447,241,298.28
  5. Step 5: Solve for x
    x = 14,437,447,241,298.28/5,893,568.16
  6. Step 6: Final answer
    x = 2,449,695.47

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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.