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Finding the Fourth Proportional to 468,670.28, 702,894.28 and 202,285.32

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Solution

The fourth proportional to 468,670.28, 702,894.28 and 202,285.32 is: 303,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,670.28 : 702,894.28 = 202,285.32 : x
  2. Step 2: Convert to fraction form
    468,670.28/702,894.28 = 202,285.32/x
  3. Step 3: Cross multiply
    468,670.28x = 702,894.28 × 202,285.32
  4. Step 4: Simplify right side
    468,670.28x = 142,185,194,355.97
  5. Step 5: Solve for x
    x = 142,185,194,355.97/468,670.28
  6. Step 6: Final answer
    x = 303,380.01

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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.