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Finding the Fourth Proportional to 367,046.62, 506,547.60 and 205,912.10

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Solution

The fourth proportional to 367,046.62, 506,547.60 and 205,912.10 is: 284,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,046.62 : 506,547.60 = 205,912.10 : x
  2. Step 2: Convert to fraction form
    367,046.62/506,547.60 = 205,912.10/x
  3. Step 3: Cross multiply
    367,046.62x = 506,547.60 × 205,912.10
  4. Step 4: Simplify right side
    367,046.62x = 104,304,280,065.96
  5. Step 5: Solve for x
    x = 104,304,280,065.96/367,046.62
  6. Step 6: Final answer
    x = 284,171.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.