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Finding the Fourth Proportional to 384,048.22, 576,072.24 and 103,565.38

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Solution

The fourth proportional to 384,048.22, 576,072.24 and 103,565.38 is: 155,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,048.22 : 576,072.24 = 103,565.38 : x
  2. Step 2: Convert to fraction form
    384,048.22/576,072.24 = 103,565.38/x
  3. Step 3: Cross multiply
    384,048.22x = 576,072.24 × 103,565.38
  4. Step 4: Simplify right side
    384,048.22x = 59,661,140,443.05
  5. Step 5: Solve for x
    x = 59,661,140,443.05/384,048.22
  6. Step 6: Final answer
    x = 155,348.05

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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.