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Finding the Fourth Proportional to 385,044.54, 577,085.40 and 185,311.32

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Solution

The fourth proportional to 385,044.54, 577,085.40 and 185,311.32 is: 277,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,044.54 : 577,085.40 = 185,311.32 : x
  2. Step 2: Convert to fraction form
    385,044.54/577,085.40 = 185,311.32/x
  3. Step 3: Cross multiply
    385,044.54x = 577,085.40 × 185,311.32
  4. Step 4: Simplify right side
    385,044.54x = 106,940,457,226.73
  5. Step 5: Solve for x
    x = 106,940,457,226.73/385,044.54
  6. Step 6: Final answer
    x = 277,735.29

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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.