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Finding the Fourth Proportional to 543,336.40, 749,768.16 and 301,607.04

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Solution

The fourth proportional to 543,336.40, 749,768.16 and 301,607.04 is: 416,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,336.40 : 749,768.16 = 301,607.04 : x
  2. Step 2: Convert to fraction form
    543,336.40/749,768.16 = 301,607.04/x
  3. Step 3: Cross multiply
    543,336.40x = 749,768.16 × 301,607.04
  4. Step 4: Simplify right side
    543,336.40x = 226,135,355,423.85
  5. Step 5: Solve for x
    x = 226,135,355,423.85/543,336.40
  6. Step 6: Final answer
    x = 416,197.69

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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.