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Finding the Fourth Proportional to 309,598.61, 464,398.41 and 84,962.12

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Solution

The fourth proportional to 309,598.61, 464,398.41 and 84,962.12 is: 127,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,598.61 : 464,398.41 = 84,962.12 : x
  2. Step 2: Convert to fraction form
    309,598.61/464,398.41 = 84,962.12/x
  3. Step 3: Cross multiply
    309,598.61x = 464,398.41 × 84,962.12
  4. Step 4: Simplify right side
    309,598.61x = 39,456,273,438.23
  5. Step 5: Solve for x
    x = 39,456,273,438.23/309,598.61
  6. Step 6: Final answer
    x = 127,443.32

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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.