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Finding the Fourth Proportional to 448,773.40, 673,160.10 and 412,031.80

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Solution

The fourth proportional to 448,773.40, 673,160.10 and 412,031.80 is: 618,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,773.40 : 673,160.10 = 412,031.80 : x
  2. Step 2: Convert to fraction form
    448,773.40/673,160.10 = 412,031.80/x
  3. Step 3: Cross multiply
    448,773.40x = 673,160.10 × 412,031.80
  4. Step 4: Simplify right side
    448,773.40x = 277,363,367,691.18
  5. Step 5: Solve for x
    x = 277,363,367,691.18/448,773.40
  6. Step 6: Final answer
    x = 618,047.70

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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.