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Finding the Fourth Proportional to 381,152.10, 525,920.28 and 219,948.30

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Solution

The fourth proportional to 381,152.10, 525,920.28 and 219,948.30 is: 303,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,152.10 : 525,920.28 = 219,948.30 : x
  2. Step 2: Convert to fraction form
    381,152.10/525,920.28 = 219,948.30/x
  3. Step 3: Cross multiply
    381,152.10x = 525,920.28 × 219,948.30
  4. Step 4: Simplify right side
    381,152.10x = 115,675,271,521.52
  5. Step 5: Solve for x
    x = 115,675,271,521.52/381,152.10
  6. Step 6: Final answer
    x = 303,488.48

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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.