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Finding the Fourth Proportional to 413,701.20, 620,551.80 and 384,176.70

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Solution

The fourth proportional to 413,701.20, 620,551.80 and 384,176.70 is: 576,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,701.20 : 620,551.80 = 384,176.70 : x
  2. Step 2: Convert to fraction form
    413,701.20/620,551.80 = 384,176.70/x
  3. Step 3: Cross multiply
    413,701.20x = 620,551.80 × 384,176.70
  4. Step 4: Simplify right side
    413,701.20x = 238,401,542,703.06
  5. Step 5: Solve for x
    x = 238,401,542,703.06/413,701.20
  6. Step 6: Final answer
    x = 576,265.05

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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.