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Finding the Fourth Proportional to 511,937.36, 706,472.52 and 285,569.36

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Solution

The fourth proportional to 511,937.36, 706,472.52 and 285,569.36 is: 394,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,937.36 : 706,472.52 = 285,569.36 : x
  2. Step 2: Convert to fraction form
    511,937.36/706,472.52 = 285,569.36/x
  3. Step 3: Cross multiply
    511,937.36x = 706,472.52 × 285,569.36
  4. Step 4: Simplify right side
    511,937.36x = 201,746,905,393.99
  5. Step 5: Solve for x
    x = 201,746,905,393.99/511,937.36
  6. Step 6: Final answer
    x = 394,085.14

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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.