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Finding the Fourth Proportional to 299,276.65, 448,918.92 and 99,597.07

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Solution

The fourth proportional to 299,276.65, 448,918.92 and 99,597.07 is: 149,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,276.65 : 448,918.92 = 99,597.07 : x
  2. Step 2: Convert to fraction form
    299,276.65/448,918.92 = 99,597.07/x
  3. Step 3: Cross multiply
    299,276.65x = 448,918.92 × 99,597.07
  4. Step 4: Simplify right side
    299,276.65x = 44,711,009,099.56
  5. Step 5: Solve for x
    x = 44,711,009,099.56/299,276.65
  6. Step 6: Final answer
    x = 149,396.92

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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.