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Finding the Fourth Proportional to 303,445.24, 455,299.08 and 116,413

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Solution

The fourth proportional to 303,445.24, 455,299.08 and 116,413 is: 174,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,445.24 : 455,299.08 = 116,413 : x
  2. Step 2: Convert to fraction form
    303,445.24/455,299.08 = 116,413/x
  3. Step 3: Cross multiply
    303,445.24x = 455,299.08 × 116,413
  4. Step 4: Simplify right side
    303,445.24x = 53,002,731,800.04
  5. Step 5: Solve for x
    x = 53,002,731,800.04/303,445.24
  6. Step 6: Final answer
    x = 174,669.84

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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.