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Finding the Fourth Proportional to 523,601.28, 785,168.64 and 190,944

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Solution

The fourth proportional to 523,601.28, 785,168.64 and 190,944 is: 286,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,601.28 : 785,168.64 = 190,944 : x
  2. Step 2: Convert to fraction form
    523,601.28/785,168.64 = 190,944/x
  3. Step 3: Cross multiply
    523,601.28x = 785,168.64 × 190,944
  4. Step 4: Simplify right side
    523,601.28x = 149,923,240,796.16
  5. Step 5: Solve for x
    x = 149,923,240,796.16/523,601.28
  6. Step 6: Final answer
    x = 286,330.93

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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.