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Finding the Fourth Proportional to 383,533.34, 575,383.10 and 146,876.04

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Solution

The fourth proportional to 383,533.34, 575,383.10 and 146,876.04 is: 220,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,533.34 : 575,383.10 = 146,876.04 : x
  2. Step 2: Convert to fraction form
    383,533.34/575,383.10 = 146,876.04/x
  3. Step 3: Cross multiply
    383,533.34x = 575,383.10 × 146,876.04
  4. Step 4: Simplify right side
    383,533.34x = 84,509,990,476.54
  5. Step 5: Solve for x
    x = 84,509,990,476.54/383,533.34
  6. Step 6: Final answer
    x = 220,345.88

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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.