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Finding the Fourth Proportional to 412,448.94, 568,583.12 and 289,567.22

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Solution

The fourth proportional to 412,448.94, 568,583.12 and 289,567.22 is: 399,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,448.94 : 568,583.12 = 289,567.22 : x
  2. Step 2: Convert to fraction form
    412,448.94/568,583.12 = 289,567.22/x
  3. Step 3: Cross multiply
    412,448.94x = 568,583.12 × 289,567.22
  4. Step 4: Simplify right side
    412,448.94x = 164,643,033,397.33
  5. Step 5: Solve for x
    x = 164,643,033,397.33/412,448.94
  6. Step 6: Final answer
    x = 399,184.04

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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.