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Finding the Fourth Proportional to 428,488.77, 589,968.32 and 363,823.23

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Solution

The fourth proportional to 428,488.77, 589,968.32 and 363,823.23 is: 500,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,488.77 : 589,968.32 = 363,823.23 : x
  2. Step 2: Convert to fraction form
    428,488.77/589,968.32 = 363,823.23/x
  3. Step 3: Cross multiply
    428,488.77x = 589,968.32 × 363,823.23
  4. Step 4: Simplify right side
    428,488.77x = 214,644,179,780.07
  5. Step 5: Solve for x
    x = 214,644,179,780.07/428,488.77
  6. Step 6: Final answer
    x = 500,933.03

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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.