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Finding the Fourth Proportional to 457,337.96, 685,896.67 and 190,954.07

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Solution

The fourth proportional to 457,337.96, 685,896.67 and 190,954.07 is: 286,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,337.96 : 685,896.67 = 190,954.07 : x
  2. Step 2: Convert to fraction form
    457,337.96/685,896.67 = 190,954.07/x
  3. Step 3: Cross multiply
    457,337.96x = 685,896.67 × 190,954.07
  4. Step 4: Simplify right side
    457,337.96x = 130,974,760,117.27
  5. Step 5: Solve for x
    x = 130,974,760,117.27/457,337.96
  6. Step 6: Final answer
    x = 286,385.06

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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.