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Finding the Fourth Proportional to 383,026.32, 574,578.36 and 146,567.88

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Solution

The fourth proportional to 383,026.32, 574,578.36 and 146,567.88 is: 219,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,026.32 : 574,578.36 = 146,567.88 : x
  2. Step 2: Convert to fraction form
    383,026.32/574,578.36 = 146,567.88/x
  3. Step 3: Cross multiply
    383,026.32x = 574,578.36 × 146,567.88
  4. Step 4: Simplify right side
    383,026.32x = 84,214,732,119.08
  5. Step 5: Solve for x
    x = 84,214,732,119.08/383,026.32
  6. Step 6: Final answer
    x = 219,866.70

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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.