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Finding the Fourth Proportional to 383,377.16, 529,038.87 and 211,294.58

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Solution

The fourth proportional to 383,377.16, 529,038.87 and 211,294.58 is: 291,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,377.16 : 529,038.87 = 211,294.58 : x
  2. Step 2: Convert to fraction form
    383,377.16/529,038.87 = 211,294.58/x
  3. Step 3: Cross multiply
    383,377.16x = 529,038.87 × 211,294.58
  4. Step 4: Simplify right side
    383,377.16x = 111,783,045,840.33
  5. Step 5: Solve for x
    x = 111,783,045,840.33/383,377.16
  6. Step 6: Final answer
    x = 291,574.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.