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Finding the Fourth Proportional to 652,657.26, 978,985.92 and 231,949.74

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Solution

The fourth proportional to 652,657.26, 978,985.92 and 231,949.74 is: 347,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,657.26 : 978,985.92 = 231,949.74 : x
  2. Step 2: Convert to fraction form
    652,657.26/978,985.92 = 231,949.74/x
  3. Step 3: Cross multiply
    652,657.26x = 978,985.92 × 231,949.74
  4. Step 4: Simplify right side
    652,657.26x = 227,075,529,607.66
  5. Step 5: Solve for x
    x = 227,075,529,607.66/652,657.26
  6. Step 6: Final answer
    x = 347,924.62

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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.