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Finding the Fourth Proportional to 483,820.10, 724,855.35 and 413,836.10

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Solution

The fourth proportional to 483,820.10, 724,855.35 and 413,836.10 is: 620,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,820.10 : 724,855.35 = 413,836.10 : x
  2. Step 2: Convert to fraction form
    483,820.10/724,855.35 = 413,836.10/x
  3. Step 3: Cross multiply
    483,820.10x = 724,855.35 × 413,836.10
  4. Step 4: Simplify right side
    483,820.10x = 299,971,311,108.14
  5. Step 5: Solve for x
    x = 299,971,311,108.14/483,820.10
  6. Step 6: Final answer
    x = 620,005.89

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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.