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Finding the Fourth Proportional to 311,948.70, 467,955.84 and 101,603.04

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Solution

The fourth proportional to 311,948.70, 467,955.84 and 101,603.04 is: 152,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948.70 : 467,955.84 = 101,603.04 : x
  2. Step 2: Convert to fraction form
    311,948.70/467,955.84 = 101,603.04/x
  3. Step 3: Cross multiply
    311,948.70x = 467,955.84 × 101,603.04
  4. Step 4: Simplify right side
    311,948.70x = 47,545,735,929.75
  5. Step 5: Solve for x
    x = 47,545,735,929.75/311,948.70
  6. Step 6: Final answer
    x = 152,415.24

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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.