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Finding the Fourth Proportional to 398,143.80, 596,231.55 and 264,299.40

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Solution

The fourth proportional to 398,143.80, 596,231.55 and 264,299.40 is: 395,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,143.80 : 596,231.55 = 264,299.40 : x
  2. Step 2: Convert to fraction form
    398,143.80/596,231.55 = 264,299.40/x
  3. Step 3: Cross multiply
    398,143.80x = 596,231.55 × 264,299.40
  4. Step 4: Simplify right side
    398,143.80x = 157,583,640,926.07
  5. Step 5: Solve for x
    x = 157,583,640,926.07/398,143.80
  6. Step 6: Final answer
    x = 395,795.79

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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.