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Finding the Fourth Proportional to 616,181, 924,271.50 and 222,197

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Solution

The fourth proportional to 616,181, 924,271.50 and 222,197 is: 333,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,181 : 924,271.50 = 222,197 : x
  2. Step 2: Convert to fraction form
    616,181/924,271.50 = 222,197/x
  3. Step 3: Cross multiply
    616,181x = 924,271.50 × 222,197
  4. Step 4: Simplify right side
    616,181x = 205,370,354,485.50
  5. Step 5: Solve for x
    x = 205,370,354,485.50/616,181
  6. Step 6: Final answer
    x = 333,295.50

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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.