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Finding the Fourth Proportional to 408,210.98, 612,595.12 and 141,968.84

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Solution

The fourth proportional to 408,210.98, 612,595.12 and 141,968.84 is: 213,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,210.98 : 612,595.12 = 141,968.84 : x
  2. Step 2: Convert to fraction form
    408,210.98/612,595.12 = 141,968.84/x
  3. Step 3: Cross multiply
    408,210.98x = 612,595.12 × 141,968.84
  4. Step 4: Simplify right side
    408,210.98x = 86,969,418,576.06
  5. Step 5: Solve for x
    x = 86,969,418,576.06/408,210.98
  6. Step 6: Final answer
    x = 213,050.17

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