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Finding the Fourth Proportional to 456,564.80, 685,666.40 and 332,046.40

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Solution

The fourth proportional to 456,564.80, 685,666.40 and 332,046.40 is: 498,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,564.80 : 685,666.40 = 332,046.40 : x
  2. Step 2: Convert to fraction form
    456,564.80/685,666.40 = 332,046.40/x
  3. Step 3: Cross multiply
    456,564.80x = 685,666.40 × 332,046.40
  4. Step 4: Simplify right side
    456,564.80x = 227,673,059,720.96
  5. Step 5: Solve for x
    x = 227,673,059,720.96/456,564.80
  6. Step 6: Final answer
    x = 498,665.38

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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.