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Finding the Fourth Proportional to 412,448.95, 568,583.12 and 289,567.23

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Solution

The fourth proportional to 412,448.95, 568,583.12 and 289,567.23 is: 399,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,448.95 : 568,583.12 = 289,567.23 : x
  2. Step 2: Convert to fraction form
    412,448.95/568,583.12 = 289,567.23/x
  3. Step 3: Cross multiply
    412,448.95x = 568,583.12 × 289,567.23
  4. Step 4: Simplify right side
    412,448.95x = 164,643,039,083.16
  5. Step 5: Solve for x
    x = 164,643,039,083.16/412,448.95
  6. Step 6: Final answer
    x = 399,184.04

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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.