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Finding the Fourth Proportional to 411,384.72, 616,787.29 and 158,453.31

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Solution

The fourth proportional to 411,384.72, 616,787.29 and 158,453.31 is: 237,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,384.72 : 616,787.29 = 158,453.31 : x
  2. Step 2: Convert to fraction form
    411,384.72/616,787.29 = 158,453.31/x
  3. Step 3: Cross multiply
    411,384.72x = 616,787.29 × 158,453.31
  4. Step 4: Simplify right side
    411,384.72x = 97,731,987,666.43
  5. Step 5: Solve for x
    x = 97,731,987,666.43/411,384.72
  6. Step 6: Final answer
    x = 237,568.35

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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.