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Finding the Fourth Proportional to 473,099.28, 709,870.32 and 206,825.28

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Solution

The fourth proportional to 473,099.28, 709,870.32 and 206,825.28 is: 310,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,099.28 : 709,870.32 = 206,825.28 : x
  2. Step 2: Convert to fraction form
    473,099.28/709,870.32 = 206,825.28/x
  3. Step 3: Cross multiply
    473,099.28x = 709,870.32 × 206,825.28
  4. Step 4: Simplify right side
    473,099.28x = 146,819,127,697.69
  5. Step 5: Solve for x
    x = 146,819,127,697.69/473,099.28
  6. Step 6: Final answer
    x = 310,334.71

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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.