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Finding the Fourth Proportional to 309,954.66, 464,932 and 122,966.16

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Solution

The fourth proportional to 309,954.66, 464,932 and 122,966.16 is: 184,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,954.66 : 464,932 = 122,966.16 : x
  2. Step 2: Convert to fraction form
    309,954.66/464,932 = 122,966.16/x
  3. Step 3: Cross multiply
    309,954.66x = 464,932 × 122,966.16
  4. Step 4: Simplify right side
    309,954.66x = 57,170,902,701.12
  5. Step 5: Solve for x
    x = 57,170,902,701.12/309,954.66
  6. Step 6: Final answer
    x = 184,449.24

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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.