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Finding the Fourth Proportional to 311,948.20, 467,922.30 and 101,607.40

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Solution

The fourth proportional to 311,948.20, 467,922.30 and 101,607.40 is: 152,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948.20 : 467,922.30 = 101,607.40 : x
  2. Step 2: Convert to fraction form
    311,948.20/467,922.30 = 101,607.40/x
  3. Step 3: Cross multiply
    311,948.20x = 467,922.30 × 101,607.40
  4. Step 4: Simplify right side
    311,948.20x = 47,544,368,305.02
  5. Step 5: Solve for x
    x = 47,544,368,305.02/311,948.20
  6. Step 6: Final answer
    x = 152,411.10

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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.