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Finding the Fourth Proportional to 311,980.62, 430,557.76 and 184,726.38

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Solution

The fourth proportional to 311,980.62, 430,557.76 and 184,726.38 is: 254,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980.62 : 430,557.76 = 184,726.38 : x
  2. Step 2: Convert to fraction form
    311,980.62/430,557.76 = 184,726.38/x
  3. Step 3: Cross multiply
    311,980.62x = 430,557.76 × 184,726.38
  4. Step 4: Simplify right side
    311,980.62x = 79,535,376,385.71
  5. Step 5: Solve for x
    x = 79,535,376,385.71/311,980.62
  6. Step 6: Final answer
    x = 254,936.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.