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Finding the Fourth Proportional to 397,813.20, 596,719.80 and 391,252.20

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Solution

The fourth proportional to 397,813.20, 596,719.80 and 391,252.20 is: 586,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,813.20 : 596,719.80 = 391,252.20 : x
  2. Step 2: Convert to fraction form
    397,813.20/596,719.80 = 391,252.20/x
  3. Step 3: Cross multiply
    397,813.20x = 596,719.80 × 391,252.20
  4. Step 4: Simplify right side
    397,813.20x = 233,467,934,533.56
  5. Step 5: Solve for x
    x = 233,467,934,533.56/397,813.20
  6. Step 6: Final answer
    x = 586,878.30

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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.