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Finding the Fourth Proportional to 445,902.88, 668,923.96 and 146,315.32

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Solution

The fourth proportional to 445,902.88, 668,923.96 and 146,315.32 is: 219,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,902.88 : 668,923.96 = 146,315.32 : x
  2. Step 2: Convert to fraction form
    445,902.88/668,923.96 = 146,315.32/x
  3. Step 3: Cross multiply
    445,902.88x = 668,923.96 × 146,315.32
  4. Step 4: Simplify right side
    445,902.88x = 97,873,823,263.07
  5. Step 5: Solve for x
    x = 97,873,823,263.07/445,902.88
  6. Step 6: Final answer
    x = 219,495.83

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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.