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Finding the Fourth Proportional to 384,718.35, 577,110.33 and 100,446.62

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Solution

The fourth proportional to 384,718.35, 577,110.33 and 100,446.62 is: 150,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,718.35 : 577,110.33 = 100,446.62 : x
  2. Step 2: Convert to fraction form
    384,718.35/577,110.33 = 100,446.62/x
  3. Step 3: Cross multiply
    384,718.35x = 577,110.33 × 100,446.62
  4. Step 4: Simplify right side
    384,718.35x = 57,968,783,458.36
  5. Step 5: Solve for x
    x = 57,968,783,458.36/384,718.35
  6. Step 6: Final answer
    x = 150,678.50

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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.