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Finding the Fourth Proportional to 370,693.28, 511,557.50 and 200,927.52

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Solution

The fourth proportional to 370,693.28, 511,557.50 and 200,927.52 is: 277,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,693.28 : 511,557.50 = 200,927.52 : x
  2. Step 2: Convert to fraction form
    370,693.28/511,557.50 = 200,927.52/x
  3. Step 3: Cross multiply
    370,693.28x = 511,557.50 × 200,927.52
  4. Step 4: Simplify right side
    370,693.28x = 102,785,979,812.40
  5. Step 5: Solve for x
    x = 102,785,979,812.40/370,693.28
  6. Step 6: Final answer
    x = 277,280.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.