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Finding the Fourth Proportional to 290,217.14, 400,477.69 and 162,868.13

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Solution

The fourth proportional to 290,217.14, 400,477.69 and 162,868.13 is: 224,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,217.14 : 400,477.69 = 162,868.13 : x
  2. Step 2: Convert to fraction form
    290,217.14/400,477.69 = 162,868.13/x
  3. Step 3: Cross multiply
    290,217.14x = 400,477.69 × 162,868.13
  4. Step 4: Simplify right side
    290,217.14x = 65,225,050,067.46
  5. Step 5: Solve for x
    x = 65,225,050,067.46/290,217.14
  6. Step 6: Final answer
    x = 224,745.69

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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.