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Finding the Fourth Proportional to 311,848.95, 467,117.33 and 259,360.95

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Solution

The fourth proportional to 311,848.95, 467,117.33 and 259,360.95 is: 388,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,848.95 : 467,117.33 = 259,360.95 : x
  2. Step 2: Convert to fraction form
    311,848.95/467,117.33 = 259,360.95/x
  3. Step 3: Cross multiply
    311,848.95x = 467,117.33 × 259,360.95
  4. Step 4: Simplify right side
    311,848.95x = 121,151,993,173.46
  5. Step 5: Solve for x
    x = 121,151,993,173.46/311,848.95
  6. Step 6: Final answer
    x = 388,495.75

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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.