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Finding the Fourth Proportional to 519,589.25, 779,395.65 and 413,046.81

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Solution

The fourth proportional to 519,589.25, 779,395.65 and 413,046.81 is: 619,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,589.25 : 779,395.65 = 413,046.81 : x
  2. Step 2: Convert to fraction form
    519,589.25/779,395.65 = 413,046.81/x
  3. Step 3: Cross multiply
    519,589.25x = 779,395.65 × 413,046.81
  4. Step 4: Simplify right side
    519,589.25x = 321,926,886,960.38
  5. Step 5: Solve for x
    x = 321,926,886,960.38/519,589.25
  6. Step 6: Final answer
    x = 619,579.58

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1.5x scale

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.