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Finding the Fourth Proportional to 299,297.34, 448,946.04 and 199,652.15

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Solution

The fourth proportional to 299,297.34, 448,946.04 and 199,652.15 is: 299,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,297.34 : 448,946.04 = 199,652.15 : x
  2. Step 2: Convert to fraction form
    299,297.34/448,946.04 = 199,652.15/x
  3. Step 3: Cross multiply
    299,297.34x = 448,946.04 × 199,652.15
  4. Step 4: Simplify right side
    299,297.34x = 89,633,039,875.26
  5. Step 5: Solve for x
    x = 89,633,039,875.26/299,297.34
  6. Step 6: Final answer
    x = 299,478.24

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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.