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Finding the Fourth Proportional to 348,103.98, 480,347.40 and 204,855.48

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Solution

The fourth proportional to 348,103.98, 480,347.40 and 204,855.48 is: 282,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,103.98 : 480,347.40 = 204,855.48 : x
  2. Step 2: Convert to fraction form
    348,103.98/480,347.40 = 204,855.48/x
  3. Step 3: Cross multiply
    348,103.98x = 480,347.40 × 204,855.48
  4. Step 4: Simplify right side
    348,103.98x = 98,401,797,193.75
  5. Step 5: Solve for x
    x = 98,401,797,193.75/348,103.98
  6. Step 6: Final answer
    x = 282,679.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.