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Finding the Fourth Proportional to 1,541,784.88, 2,313,664.44 and 832,306.96

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Solution

The fourth proportional to 1,541,784.88, 2,313,664.44 and 832,306.96 is: 1,248,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,784.88 : 2,313,664.44 = 832,306.96 : x
  2. Step 2: Convert to fraction form
    1,541,784.88/2,313,664.44 = 832,306.96/x
  3. Step 3: Cross multiply
    1,541,784.88x = 2,313,664.44 × 832,306.96
  4. Step 4: Simplify right side
    1,541,784.88x = 1,925,679,016,516.50
  5. Step 5: Solve for x
    x = 1,925,679,016,516.50/1,541,784.88
  6. Step 6: Final answer
    x = 1,248,993.32

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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.