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Finding the Fourth Proportional to 299,001.02, 447,994.02 and 180,423.20

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Solution

The fourth proportional to 299,001.02, 447,994.02 and 180,423.20 is: 270,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,001.02 : 447,994.02 = 180,423.20 : x
  2. Step 2: Convert to fraction form
    299,001.02/447,994.02 = 180,423.20/x
  3. Step 3: Cross multiply
    299,001.02x = 447,994.02 × 180,423.20
  4. Step 4: Simplify right side
    299,001.02x = 80,828,514,669.26
  5. Step 5: Solve for x
    x = 80,828,514,669.26/299,001.02
  6. Step 6: Final answer
    x = 270,328.56

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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.