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Finding the Fourth Proportional to 303,783.16, 455,416.26 and 185,537.44

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Solution

The fourth proportional to 303,783.16, 455,416.26 and 185,537.44 is: 278,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,783.16 : 455,416.26 = 185,537.44 : x
  2. Step 2: Convert to fraction form
    303,783.16/455,416.26 = 185,537.44/x
  3. Step 3: Cross multiply
    303,783.16x = 455,416.26 × 185,537.44
  4. Step 4: Simplify right side
    303,783.16x = 84,496,767,014.77
  5. Step 5: Solve for x
    x = 84,496,767,014.77/303,783.16
  6. Step 6: Final answer
    x = 278,148.29

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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.