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Finding the Fourth Proportional to 289,907.75, 400,116.44 and 176,796.11

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Solution

The fourth proportional to 289,907.75, 400,116.44 and 176,796.11 is: 244,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,907.75 : 400,116.44 = 176,796.11 : x
  2. Step 2: Convert to fraction form
    289,907.75/400,116.44 = 176,796.11/x
  3. Step 3: Cross multiply
    289,907.75x = 400,116.44 × 176,796.11
  4. Step 4: Simplify right side
    289,907.75x = 70,739,030,139.05
  5. Step 5: Solve for x
    x = 70,739,030,139.05/289,907.75
  6. Step 6: Final answer
    x = 244,005.31

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1.5x scale

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.