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Finding the Fourth Proportional to 484,043.33, 725,969.28 and 460,039.16

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Solution

The fourth proportional to 484,043.33, 725,969.28 and 460,039.16 is: 689,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,043.33 : 725,969.28 = 460,039.16 : x
  2. Step 2: Convert to fraction form
    484,043.33/725,969.28 = 460,039.16/x
  3. Step 3: Cross multiply
    484,043.33x = 725,969.28 × 460,039.16
  4. Step 4: Simplify right side
    484,043.33x = 333,974,297,757.01
  5. Step 5: Solve for x
    x = 333,974,297,757.01/484,043.33
  6. Step 6: Final answer
    x = 689,967.77

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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.