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Finding the Fourth Proportional to 536,978, 805,544.76 and 163,001.36

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Solution

The fourth proportional to 536,978, 805,544.76 and 163,001.36 is: 244,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,978 : 805,544.76 = 163,001.36 : x
  2. Step 2: Convert to fraction form
    536,978/805,544.76 = 163,001.36/x
  3. Step 3: Cross multiply
    536,978x = 805,544.76 × 163,001.36
  4. Step 4: Simplify right side
    536,978x = 131,304,891,420.87
  5. Step 5: Solve for x
    x = 131,304,891,420.87/536,978
  6. Step 6: Final answer
    x = 244,525.64

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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.