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Finding the Fourth Proportional to 509,579.24, 703,228.32 and 280,146.20

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Solution

The fourth proportional to 509,579.24, 703,228.32 and 280,146.20 is: 386,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,579.24 : 703,228.32 = 280,146.20 : x
  2. Step 2: Convert to fraction form
    509,579.24/703,228.32 = 280,146.20/x
  3. Step 3: Cross multiply
    509,579.24x = 703,228.32 × 280,146.20
  4. Step 4: Simplify right side
    509,579.24x = 197,006,741,580.38
  5. Step 5: Solve for x
    x = 197,006,741,580.38/509,579.24
  6. Step 6: Final answer
    x = 386,606.69

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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.