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Finding the Fourth Proportional to 394,047.04, 590,800.54 and 141,322.12

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Solution

The fourth proportional to 394,047.04, 590,800.54 and 141,322.12 is: 211,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,047.04 : 590,800.54 = 141,322.12 : x
  2. Step 2: Convert to fraction form
    394,047.04/590,800.54 = 141,322.12/x
  3. Step 3: Cross multiply
    394,047.04x = 590,800.54 × 141,322.12
  4. Step 4: Simplify right side
    394,047.04x = 83,493,184,809.94
  5. Step 5: Solve for x
    x = 83,493,184,809.94/394,047.04
  6. Step 6: Final answer
    x = 211,886.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.