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Finding the Fourth Proportional to 311,154.54, 429,398.73 and 183,829.83

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Solution

The fourth proportional to 311,154.54, 429,398.73 and 183,829.83 is: 253,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,154.54 : 429,398.73 = 183,829.83 : x
  2. Step 2: Convert to fraction form
    311,154.54/429,398.73 = 183,829.83/x
  3. Step 3: Cross multiply
    311,154.54x = 429,398.73 × 183,829.83
  4. Step 4: Simplify right side
    311,154.54x = 78,936,295,538.12
  5. Step 5: Solve for x
    x = 78,936,295,538.12/311,154.54
  6. Step 6: Final answer
    x = 253,688.39

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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.