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Finding the Fourth Proportional to 284,265.90, 425,880.45 and 231,389.10

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Solution

The fourth proportional to 284,265.90, 425,880.45 and 231,389.10 is: 346,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,265.90 : 425,880.45 = 231,389.10 : x
  2. Step 2: Convert to fraction form
    284,265.90/425,880.45 = 231,389.10/x
  3. Step 3: Cross multiply
    284,265.90x = 425,880.45 × 231,389.10
  4. Step 4: Simplify right side
    284,265.90x = 98,544,094,033.10
  5. Step 5: Solve for x
    x = 98,544,094,033.10/284,265.90
  6. Step 6: Final answer
    x = 346,661.68

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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.