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Finding the Fourth Proportional to 290,020.56, 400,246.76 and 162,704.40

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Solution

The fourth proportional to 290,020.56, 400,246.76 and 162,704.40 is: 224,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,020.56 : 400,246.76 = 162,704.40 : x
  2. Step 2: Convert to fraction form
    290,020.56/400,246.76 = 162,704.40/x
  3. Step 3: Cross multiply
    290,020.56x = 400,246.76 × 162,704.40
  4. Step 4: Simplify right side
    290,020.56x = 65,121,908,937.74
  5. Step 5: Solve for x
    x = 65,121,908,937.74/290,020.56
  6. Step 6: Final answer
    x = 224,542.39

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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.