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Finding the Fourth Proportional to 511,516.04, 705,955.77 and 293,792.90

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Solution

The fourth proportional to 511,516.04, 705,955.77 and 293,792.90 is: 405,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,516.04 : 705,955.77 = 293,792.90 : x
  2. Step 2: Convert to fraction form
    511,516.04/705,955.77 = 293,792.90/x
  3. Step 3: Cross multiply
    511,516.04x = 705,955.77 × 293,792.90
  4. Step 4: Simplify right side
    511,516.04x = 207,404,789,410.25
  5. Step 5: Solve for x
    x = 207,404,789,410.25/511,516.04
  6. Step 6: Final answer
    x = 405,470.75

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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.