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Finding the Fourth Proportional to 412,783.45, 569,399.29 and 259,578.63

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Solution

The fourth proportional to 412,783.45, 569,399.29 and 259,578.63 is: 358,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,783.45 : 569,399.29 = 259,578.63 : x
  2. Step 2: Convert to fraction form
    412,783.45/569,399.29 = 259,578.63/x
  3. Step 3: Cross multiply
    412,783.45x = 569,399.29 × 259,578.63
  4. Step 4: Simplify right side
    412,783.45x = 147,803,886,972.23
  5. Step 5: Solve for x
    x = 147,803,886,972.23/412,783.45
  6. Step 6: Final answer
    x = 358,066.41

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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.