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Finding the Fourth Proportional to 290,276.55, 400,575.72 and 162,952.14

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Solution

The fourth proportional to 290,276.55, 400,575.72 and 162,952.14 is: 224,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,276.55 : 400,575.72 = 162,952.14 : x
  2. Step 2: Convert to fraction form
    290,276.55/400,575.72 = 162,952.14/x
  3. Step 3: Cross multiply
    290,276.55x = 400,575.72 × 162,952.14
  4. Step 4: Simplify right side
    290,276.55x = 65,274,670,806.04
  5. Step 5: Solve for x
    x = 65,274,670,806.04/290,276.55
  6. Step 6: Final answer
    x = 224,870.63

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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.