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Finding the Fourth Proportional to 423,009.37, 583,780.69 and 232,022.76

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Solution

The fourth proportional to 423,009.37, 583,780.69 and 232,022.76 is: 320,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,009.37 : 583,780.69 = 232,022.76 : x
  2. Step 2: Convert to fraction form
    423,009.37/583,780.69 = 232,022.76/x
  3. Step 3: Cross multiply
    423,009.37x = 583,780.69 × 232,022.76
  4. Step 4: Simplify right side
    423,009.37x = 135,450,407,734.27
  5. Step 5: Solve for x
    x = 135,450,407,734.27/423,009.37
  6. Step 6: Final answer
    x = 320,206.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.