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Finding the Fourth Proportional to 405,164.14, 558,459.69 and 287,330.41

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Solution

The fourth proportional to 405,164.14, 558,459.69 and 287,330.41 is: 396,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,164.14 : 558,459.69 = 287,330.41 : x
  2. Step 2: Convert to fraction form
    405,164.14/558,459.69 = 287,330.41/x
  3. Step 3: Cross multiply
    405,164.14x = 558,459.69 × 287,330.41
  4. Step 4: Simplify right side
    405,164.14x = 160,462,448,903.87
  5. Step 5: Solve for x
    x = 160,462,448,903.87/405,164.14
  6. Step 6: Final answer
    x = 396,043.07

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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.