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Finding the Fourth Proportional to 309,133.62, 463,038.53 and 233,419.68

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Solution

The fourth proportional to 309,133.62, 463,038.53 and 233,419.68 is: 349,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,133.62 : 463,038.53 = 233,419.68 : x
  2. Step 2: Convert to fraction form
    309,133.62/463,038.53 = 233,419.68/x
  3. Step 3: Cross multiply
    309,133.62x = 463,038.53 × 233,419.68
  4. Step 4: Simplify right side
    309,133.62x = 108,082,304,333.17
  5. Step 5: Solve for x
    x = 108,082,304,333.17/309,133.62
  6. Step 6: Final answer
    x = 349,629.73

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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.