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Finding the Fourth Proportional to 713,846.25, 1,070,654.49 and 208,288.53

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Solution

The fourth proportional to 713,846.25, 1,070,654.49 and 208,288.53 is: 312,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,846.25 : 1,070,654.49 = 208,288.53 : x
  2. Step 2: Convert to fraction form
    713,846.25/1,070,654.49 = 208,288.53/x
  3. Step 3: Cross multiply
    713,846.25x = 1,070,654.49 × 208,288.53
  4. Step 4: Simplify right side
    713,846.25x = 223,005,049,860.00
  5. Step 5: Solve for x
    x = 223,005,049,860.00/713,846.25
  6. Step 6: Final answer
    x = 312,399.27

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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.