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Finding the Fourth Proportional to 320,526, 442,296.15 and 177,282.96

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Solution

The fourth proportional to 320,526, 442,296.15 and 177,282.96 is: 244,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,526 : 442,296.15 = 177,282.96 : x
  2. Step 2: Convert to fraction form
    320,526/442,296.15 = 177,282.96/x
  3. Step 3: Cross multiply
    320,526x = 442,296.15 × 177,282.96
  4. Step 4: Simplify right side
    320,526x = 78,411,570,668.60
  5. Step 5: Solve for x
    x = 78,411,570,668.60/320,526
  6. Step 6: Final answer
    x = 244,634.04

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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.