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Finding the Fourth Proportional to 713,815.57, 985,062.86 and 441,829.31

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Solution

The fourth proportional to 713,815.57, 985,062.86 and 441,829.31 is: 609,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,815.57 : 985,062.86 = 441,829.31 : x
  2. Step 2: Convert to fraction form
    713,815.57/985,062.86 = 441,829.31/x
  3. Step 3: Cross multiply
    713,815.57x = 985,062.86 × 441,829.31
  4. Step 4: Simplify right side
    713,815.57x = 435,229,643,740.43
  5. Step 5: Solve for x
    x = 435,229,643,740.43/713,815.57
  6. Step 6: Final answer
    x = 609,722.82

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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.