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Finding the Fourth Proportional to 543,805.80, 816,000.30 and 228,294.60

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Solution

The fourth proportional to 543,805.80, 816,000.30 and 228,294.60 is: 342,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,805.80 : 816,000.30 = 228,294.60 : x
  2. Step 2: Convert to fraction form
    543,805.80/816,000.30 = 228,294.60/x
  3. Step 3: Cross multiply
    543,805.80x = 816,000.30 × 228,294.60
  4. Step 4: Simplify right side
    543,805.80x = 186,288,462,088.38
  5. Step 5: Solve for x
    x = 186,288,462,088.38/543,805.80
  6. Step 6: Final answer
    x = 342,564.32

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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.