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Finding the Fourth Proportional to 384,509.19, 576,575.19 and 224,625.27

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Solution

The fourth proportional to 384,509.19, 576,575.19 and 224,625.27 is: 336,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,509.19 : 576,575.19 = 224,625.27 : x
  2. Step 2: Convert to fraction form
    384,509.19/576,575.19 = 224,625.27/x
  3. Step 3: Cross multiply
    384,509.19x = 576,575.19 × 224,625.27
  4. Step 4: Simplify right side
    384,509.19x = 129,513,357,729.05
  5. Step 5: Solve for x
    x = 129,513,357,729.05/384,509.19
  6. Step 6: Final answer
    x = 336,827.73

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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.