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Finding the Fourth Proportional to 380,159.20, 524,612.96 and 219,013.84

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Solution

The fourth proportional to 380,159.20, 524,612.96 and 219,013.84 is: 302,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,159.20 : 524,612.96 = 219,013.84 : x
  2. Step 2: Convert to fraction form
    380,159.20/524,612.96 = 219,013.84/x
  3. Step 3: Cross multiply
    380,159.20x = 524,612.96 × 219,013.84
  4. Step 4: Simplify right side
    380,159.20x = 114,897,498,883.37
  5. Step 5: Solve for x
    x = 114,897,498,883.37/380,159.20
  6. Step 6: Final answer
    x = 302,235.22

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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.