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Finding the Fourth Proportional to 311,964.60, 467,946.89 and 101,602.54

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Solution

The fourth proportional to 311,964.60, 467,946.89 and 101,602.54 is: 152,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,964.60 : 467,946.89 = 101,602.54 : x
  2. Step 2: Convert to fraction form
    311,964.60/467,946.89 = 101,602.54/x
  3. Step 3: Cross multiply
    311,964.60x = 467,946.89 × 101,602.54
  4. Step 4: Simplify right side
    311,964.60x = 47,544,590,434.83
  5. Step 5: Solve for x
    x = 47,544,590,434.83/311,964.60
  6. Step 6: Final answer
    x = 152,403.80

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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.