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Finding the Fourth Proportional to 298,295.28, 411,647.34 and 164,159.28

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Solution

The fourth proportional to 298,295.28, 411,647.34 and 164,159.28 is: 226,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.28 : 411,647.34 = 164,159.28 : x
  2. Step 2: Convert to fraction form
    298,295.28/411,647.34 = 164,159.28/x
  3. Step 3: Cross multiply
    298,295.28x = 411,647.34 × 164,159.28
  4. Step 4: Simplify right side
    298,295.28x = 67,575,730,948.32
  5. Step 5: Solve for x
    x = 67,575,730,948.32/298,295.28
  6. Step 6: Final answer
    x = 226,539.73

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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.