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Finding the Fourth Proportional to 473,097.28, 709,867.32 and 206,823.28

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Solution

The fourth proportional to 473,097.28, 709,867.32 and 206,823.28 is: 310,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,097.28 : 709,867.32 = 206,823.28 : x
  2. Step 2: Convert to fraction form
    473,097.28/709,867.32 = 206,823.28/x
  3. Step 3: Cross multiply
    473,097.28x = 709,867.32 × 206,823.28
  4. Step 4: Simplify right side
    473,097.28x = 146,817,087,487.21
  5. Step 5: Solve for x
    x = 146,817,087,487.21/473,097.28
  6. Step 6: Final answer
    x = 310,331.71

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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.