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Finding the Fourth Proportional to 511,816.86, 706,307.34 and 285,462.36

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Solution

The fourth proportional to 511,816.86, 706,307.34 and 285,462.36 is: 393,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,816.86 : 706,307.34 = 285,462.36 : x
  2. Step 2: Convert to fraction form
    511,816.86/706,307.34 = 285,462.36/x
  3. Step 3: Cross multiply
    511,816.86x = 706,307.34 × 285,462.36
  4. Step 4: Simplify right side
    511,816.86x = 201,624,160,161.72
  5. Step 5: Solve for x
    x = 201,624,160,161.72/511,816.86
  6. Step 6: Final answer
    x = 393,938.10

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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.