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Finding the Fourth Proportional to 511,816.23, 706,078.01 and 296,831.79

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Solution

The fourth proportional to 511,816.23, 706,078.01 and 296,831.79 is: 409,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,816.23 : 706,078.01 = 296,831.79 : x
  2. Step 2: Convert to fraction form
    511,816.23/706,078.01 = 296,831.79/x
  3. Step 3: Cross multiply
    511,816.23x = 706,078.01 × 296,831.79
  4. Step 4: Simplify right side
    511,816.23x = 209,586,398,103.78
  5. Step 5: Solve for x
    x = 209,586,398,103.78/511,816.23
  6. Step 6: Final answer
    x = 409,495.41

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