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Finding the Fourth Proportional to 543,214.61, 749,630.49 and 301,499.27

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Solution

The fourth proportional to 543,214.61, 749,630.49 and 301,499.27 is: 416,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,214.61 : 749,630.49 = 301,499.27 : x
  2. Step 2: Convert to fraction form
    543,214.61/749,630.49 = 301,499.27/x
  3. Step 3: Cross multiply
    543,214.61x = 749,630.49 × 301,499.27
  4. Step 4: Simplify right side
    543,214.61x = 226,013,045,504.74
  5. Step 5: Solve for x
    x = 226,013,045,504.74/543,214.61
  6. Step 6: Final answer
    x = 416,065.84

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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.