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Finding the Fourth Proportional to 383,429.46, 574,508.46 and 233,215.32

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Solution

The fourth proportional to 383,429.46, 574,508.46 and 233,215.32 is: 349,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,429.46 : 574,508.46 = 233,215.32 : x
  2. Step 2: Convert to fraction form
    383,429.46/574,508.46 = 233,215.32/x
  3. Step 3: Cross multiply
    383,429.46x = 574,508.46 × 233,215.32
  4. Step 4: Simplify right side
    383,429.46x = 133,984,174,341.61
  5. Step 5: Solve for x
    x = 133,984,174,341.61/383,429.46
  6. Step 6: Final answer
    x = 349,436.31

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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.