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Finding the Fourth Proportional to 384,713.75, 531,053.07 and 344,356.31

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Solution

The fourth proportional to 384,713.75, 531,053.07 and 344,356.31 is: 475,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,713.75 : 531,053.07 = 344,356.31 : x
  2. Step 2: Convert to fraction form
    384,713.75/531,053.07 = 344,356.31/x
  3. Step 3: Cross multiply
    384,713.75x = 531,053.07 × 344,356.31
  4. Step 4: Simplify right side
    384,713.75x = 182,871,475,599.37
  5. Step 5: Solve for x
    x = 182,871,475,599.37/384,713.75
  6. Step 6: Final answer
    x = 475,344.27

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1.5x scale

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.