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Finding the Fourth Proportional to 522,813.40, 784,997.70 and 404,618.20

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Solution

The fourth proportional to 522,813.40, 784,997.70 and 404,618.20 is: 607,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,813.40 : 784,997.70 = 404,618.20 : x
  2. Step 2: Convert to fraction form
    522,813.40/784,997.70 = 404,618.20/x
  3. Step 3: Cross multiply
    522,813.40x = 784,997.70 × 404,618.20
  4. Step 4: Simplify right side
    522,813.40x = 317,624,356,378.14
  5. Step 5: Solve for x
    x = 317,624,356,378.14/522,813.40
  6. Step 6: Final answer
    x = 607,529.10

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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.