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Finding the Fourth Proportional to 569,419.84, 785,768.54 and 314,754.63

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Solution

The fourth proportional to 569,419.84, 785,768.54 and 314,754.63 is: 434,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,419.84 : 785,768.54 = 314,754.63 : x
  2. Step 2: Convert to fraction form
    569,419.84/785,768.54 = 314,754.63/x
  3. Step 3: Cross multiply
    569,419.84x = 785,768.54 × 314,754.63
  4. Step 4: Simplify right side
    569,419.84x = 247,324,286,073.34
  5. Step 5: Solve for x
    x = 247,324,286,073.34/569,419.84
  6. Step 6: Final answer
    x = 434,344.34

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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.