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Finding the Fourth Proportional to 456,434.49, 629,667.37 and 295,341.39

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Solution

The fourth proportional to 456,434.49, 629,667.37 and 295,341.39 is: 407,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,434.49 : 629,667.37 = 295,341.39 : x
  2. Step 2: Convert to fraction form
    456,434.49/629,667.37 = 295,341.39/x
  3. Step 3: Cross multiply
    456,434.49x = 629,667.37 × 295,341.39
  4. Step 4: Simplify right side
    456,434.49x = 185,966,836,662.62
  5. Step 5: Solve for x
    x = 185,966,836,662.62/456,434.49
  6. Step 6: Final answer
    x = 407,433.79

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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.