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Finding the Fourth Proportional to 2,507,944.36, 3,761,916.54 and 824,595.88

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Solution

The fourth proportional to 2,507,944.36, 3,761,916.54 and 824,595.88 is: 1,236,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,944.36 : 3,761,916.54 = 824,595.88 : x
  2. Step 2: Convert to fraction form
    2,507,944.36/3,761,916.54 = 824,595.88/x
  3. Step 3: Cross multiply
    2,507,944.36x = 3,761,916.54 × 824,595.88
  4. Step 4: Simplify right side
    2,507,944.36x = 3,102,060,879,787.86
  5. Step 5: Solve for x
    x = 3,102,060,879,787.86/2,507,944.36
  6. Step 6: Final answer
    x = 1,236,893.82

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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.