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Finding the Fourth Proportional to 713,694.70, 1,070,486.43 and 264,204.10

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Solution

The fourth proportional to 713,694.70, 1,070,486.43 and 264,204.10 is: 396,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,694.70 : 1,070,486.43 = 264,204.10 : x
  2. Step 2: Convert to fraction form
    713,694.70/1,070,486.43 = 264,204.10/x
  3. Step 3: Cross multiply
    713,694.70x = 1,070,486.43 × 264,204.10
  4. Step 4: Simplify right side
    713,694.70x = 282,826,903,800.36
  5. Step 5: Solve for x
    x = 282,826,903,800.36/713,694.70
  6. Step 6: Final answer
    x = 396,285.56

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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.