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Finding the Fourth Proportional to 303,345.10, 455,017.65 and 256,105.90

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Solution

The fourth proportional to 303,345.10, 455,017.65 and 256,105.90 is: 384,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,345.10 : 455,017.65 = 256,105.90 : x
  2. Step 2: Convert to fraction form
    303,345.10/455,017.65 = 256,105.90/x
  3. Step 3: Cross multiply
    303,345.10x = 455,017.65 × 256,105.90
  4. Step 4: Simplify right side
    303,345.10x = 116,532,704,769.14
  5. Step 5: Solve for x
    x = 116,532,704,769.14/303,345.10
  6. Step 6: Final answer
    x = 384,158.85

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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.