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Finding the Fourth Proportional to 824,896, 1,237,537.32 and 256,247.92

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Solution

The fourth proportional to 824,896, 1,237,537.32 and 256,247.92 is: 384,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,896 : 1,237,537.32 = 256,247.92 : x
  2. Step 2: Convert to fraction form
    824,896/1,237,537.32 = 256,247.92/x
  3. Step 3: Cross multiply
    824,896x = 1,237,537.32 × 256,247.92
  4. Step 4: Simplify right side
    824,896x = 317,116,364,172.37
  5. Step 5: Solve for x
    x = 317,116,364,172.37/824,896
  6. Step 6: Final answer
    x = 384,431.93

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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.