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Finding the Fourth Proportional to 514,370.21, 771,273.44 and 159,285.65

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Solution

The fourth proportional to 514,370.21, 771,273.44 and 159,285.65 is: 238,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,370.21 : 771,273.44 = 159,285.65 : x
  2. Step 2: Convert to fraction form
    514,370.21/771,273.44 = 159,285.65/x
  3. Step 3: Cross multiply
    514,370.21x = 771,273.44 × 159,285.65
  4. Step 4: Simplify right side
    514,370.21x = 122,852,790,421.71
  5. Step 5: Solve for x
    x = 122,852,790,421.71/514,370.21
  6. Step 6: Final answer
    x = 238,841.18

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Why These Related Problems?

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