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Finding the Fourth Proportional to 463,463.33, 695,605.05 and 273,686.40

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Solution

The fourth proportional to 463,463.33, 695,605.05 and 273,686.40 is: 410,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,463.33 : 695,605.05 = 273,686.40 : x
  2. Step 2: Convert to fraction form
    463,463.33/695,605.05 = 273,686.40/x
  3. Step 3: Cross multiply
    463,463.33x = 695,605.05 × 273,686.40
  4. Step 4: Simplify right side
    463,463.33x = 190,377,641,956.32
  5. Step 5: Solve for x
    x = 190,377,641,956.32/463,463.33
  6. Step 6: Final answer
    x = 410,771.75

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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.