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Finding the Fourth Proportional to 283,216.07, 424,812.59 and 69,978.62

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Solution

The fourth proportional to 283,216.07, 424,812.59 and 69,978.62 is: 104,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216.07 : 424,812.59 = 69,978.62 : x
  2. Step 2: Convert to fraction form
    283,216.07/424,812.59 = 69,978.62/x
  3. Step 3: Cross multiply
    283,216.07x = 424,812.59 × 69,978.62
  4. Step 4: Simplify right side
    283,216.07x = 29,727,796,993.55
  5. Step 5: Solve for x
    x = 29,727,796,993.55/283,216.07
  6. Step 6: Final answer
    x = 104,965.08

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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.