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Finding the Fourth Proportional to 585,268.30, 877,972.76 and 206,110.67

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Solution

The fourth proportional to 585,268.30, 877,972.76 and 206,110.67 is: 309,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,268.30 : 877,972.76 = 206,110.67 : x
  2. Step 2: Convert to fraction form
    585,268.30/877,972.76 = 206,110.67/x
  3. Step 3: Cross multiply
    585,268.30x = 877,972.76 × 206,110.67
  4. Step 4: Simplify right side
    585,268.30x = 180,959,549,157.85
  5. Step 5: Solve for x
    x = 180,959,549,157.85/585,268.30
  6. Step 6: Final answer
    x = 309,190.76

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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.