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Finding the Fourth Proportional to 277,823.37, 383,398.05 and 150,498.87

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Solution

The fourth proportional to 277,823.37, 383,398.05 and 150,498.87 is: 207,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,823.37 : 383,398.05 = 150,498.87 : x
  2. Step 2: Convert to fraction form
    277,823.37/383,398.05 = 150,498.87/x
  3. Step 3: Cross multiply
    277,823.37x = 383,398.05 × 150,498.87
  4. Step 4: Simplify right side
    277,823.37x = 57,700,973,285.20
  5. Step 5: Solve for x
    x = 57,700,973,285.20/277,823.37
  6. Step 6: Final answer
    x = 207,689.42

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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.