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Finding the Fourth Proportional to 383,904.32, 575,967.15 and 117,704.09

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Solution

The fourth proportional to 383,904.32, 575,967.15 and 117,704.09 is: 176,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,904.32 : 575,967.15 = 117,704.09 : x
  2. Step 2: Convert to fraction form
    383,904.32/575,967.15 = 117,704.09/x
  3. Step 3: Cross multiply
    383,904.32x = 575,967.15 × 117,704.09
  4. Step 4: Simplify right side
    383,904.32x = 67,793,690,700.56
  5. Step 5: Solve for x
    x = 67,793,690,700.56/383,904.32
  6. Step 6: Final answer
    x = 176,590.07

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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.