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Finding the Fourth Proportional to 569,351, 785,636.34 and 314,667.56

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Solution

The fourth proportional to 569,351, 785,636.34 and 314,667.56 is: 434,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,351 : 785,636.34 = 314,667.56 : x
  2. Step 2: Convert to fraction form
    569,351/785,636.34 = 314,667.56/x
  3. Step 3: Cross multiply
    569,351x = 785,636.34 × 314,667.56
  4. Step 4: Simplify right side
    569,351x = 247,214,270,155.13
  5. Step 5: Solve for x
    x = 247,214,270,155.13/569,351
  6. Step 6: Final answer
    x = 434,203.63

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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.