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Finding the Fourth Proportional to 384,916.24, 576,980.64 and 195,024.80

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Solution

The fourth proportional to 384,916.24, 576,980.64 and 195,024.80 is: 292,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,916.24 : 576,980.64 = 195,024.80 : x
  2. Step 2: Convert to fraction form
    384,916.24/576,980.64 = 195,024.80/x
  3. Step 3: Cross multiply
    384,916.24x = 576,980.64 × 195,024.80
  4. Step 4: Simplify right side
    384,916.24x = 112,525,533,919.87
  5. Step 5: Solve for x
    x = 112,525,533,919.87/384,916.24
  6. Step 6: Final answer
    x = 292,337.71

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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.