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Finding the Fourth Proportional to 383,657.24, 575,651.74 and 205,956.76

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Solution

The fourth proportional to 383,657.24, 575,651.74 and 205,956.76 is: 309,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,657.24 : 575,651.74 = 205,956.76 : x
  2. Step 2: Convert to fraction form
    383,657.24/575,651.74 = 205,956.76/x
  3. Step 3: Cross multiply
    383,657.24x = 575,651.74 × 205,956.76
  4. Step 4: Simplify right side
    383,657.24x = 118,559,367,258.76
  5. Step 5: Solve for x
    x = 118,559,367,258.76/383,657.24
  6. Step 6: Final answer
    x = 309,024.19

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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.