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Finding the Fourth Proportional to 417,136.41, 625,703.85 and 360,809.01

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Solution

The fourth proportional to 417,136.41, 625,703.85 and 360,809.01 is: 541,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,136.41 : 625,703.85 = 360,809.01 : x
  2. Step 2: Convert to fraction form
    417,136.41/625,703.85 = 360,809.01/x
  3. Step 3: Cross multiply
    417,136.41x = 625,703.85 × 360,809.01
  4. Step 4: Simplify right side
    417,136.41x = 225,759,586,671.69
  5. Step 5: Solve for x
    x = 225,759,586,671.69/417,136.41
  6. Step 6: Final answer
    x = 541,212.85

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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.