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Finding the Fourth Proportional to 294,196, 441,294.01 and 205,622.50

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Solution

The fourth proportional to 294,196, 441,294.01 and 205,622.50 is: 308,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,196 : 441,294.01 = 205,622.50 : x
  2. Step 2: Convert to fraction form
    294,196/441,294.01 = 205,622.50/x
  3. Step 3: Cross multiply
    294,196x = 441,294.01 × 205,622.50
  4. Step 4: Simplify right side
    294,196x = 90,739,977,571.23
  5. Step 5: Solve for x
    x = 90,739,977,571.23/294,196
  6. Step 6: Final answer
    x = 308,433.76

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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.