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Finding the Fourth Proportional to 383,857.32, 529,704.62 and 209,417.14

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Solution

The fourth proportional to 383,857.32, 529,704.62 and 209,417.14 is: 288,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,857.32 : 529,704.62 = 209,417.14 : x
  2. Step 2: Convert to fraction form
    383,857.32/529,704.62 = 209,417.14/x
  3. Step 3: Cross multiply
    383,857.32x = 529,704.62 × 209,417.14
  4. Step 4: Simplify right side
    383,857.32x = 110,929,226,965.55
  5. Step 5: Solve for x
    x = 110,929,226,965.55/383,857.32
  6. Step 6: Final answer
    x = 288,985.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.