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Finding the Fourth Proportional to 543,814.36, 815,838.22 and 228,089.32

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Solution

The fourth proportional to 543,814.36, 815,838.22 and 228,089.32 is: 342,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,814.36 : 815,838.22 = 228,089.32 : x
  2. Step 2: Convert to fraction form
    543,814.36/815,838.22 = 228,089.32/x
  3. Step 3: Cross multiply
    543,814.36x = 815,838.22 × 228,089.32
  4. Step 4: Simplify right side
    543,814.36x = 186,083,984,829.81
  5. Step 5: Solve for x
    x = 186,083,984,829.81/543,814.36
  6. Step 6: Final answer
    x = 342,182.92

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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.