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Finding the Fourth Proportional to 361,586.84, 498,937.28 and 200,441.76

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Solution

The fourth proportional to 361,586.84, 498,937.28 and 200,441.76 is: 276,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,586.84 : 498,937.28 = 200,441.76 : x
  2. Step 2: Convert to fraction form
    361,586.84/498,937.28 = 200,441.76/x
  3. Step 3: Cross multiply
    361,586.84x = 498,937.28 × 200,441.76
  4. Step 4: Simplify right side
    361,586.84x = 100,007,866,532.81
  5. Step 5: Solve for x
    x = 100,007,866,532.81/361,586.84
  6. Step 6: Final answer
    x = 276,580.49

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1.5x scale

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.