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Finding the Fourth Proportional to 569,568.10, 786,028.39 and 311,429.65

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Solution

The fourth proportional to 569,568.10, 786,028.39 and 311,429.65 is: 429,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,568.10 : 786,028.39 = 311,429.65 : x
  2. Step 2: Convert to fraction form
    569,568.10/786,028.39 = 311,429.65/x
  3. Step 3: Cross multiply
    569,568.10x = 786,028.39 × 311,429.65
  4. Step 4: Simplify right side
    569,568.10x = 244,792,549,315.12
  5. Step 5: Solve for x
    x = 244,792,549,315.12/569,568.10
  6. Step 6: Final answer
    x = 429,786.27

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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.