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Finding the Fourth Proportional to 456,996.53, 685,047.37 and 190,833.16

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Solution

The fourth proportional to 456,996.53, 685,047.37 and 190,833.16 is: 286,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,996.53 : 685,047.37 = 190,833.16 : x
  2. Step 2: Convert to fraction form
    456,996.53/685,047.37 = 190,833.16/x
  3. Step 3: Cross multiply
    456,996.53x = 685,047.37 × 190,833.16
  4. Step 4: Simplify right side
    456,996.53x = 130,729,753,282.65
  5. Step 5: Solve for x
    x = 130,729,753,282.65/456,996.53
  6. Step 6: Final answer
    x = 286,062.90

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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.