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Finding the Fourth Proportional to 308,450.64, 462,562.63 and 105,989.32

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Solution

The fourth proportional to 308,450.64, 462,562.63 and 105,989.32 is: 158,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,450.64 : 462,562.63 = 105,989.32 : x
  2. Step 2: Convert to fraction form
    308,450.64/462,562.63 = 105,989.32/x
  3. Step 3: Cross multiply
    308,450.64x = 462,562.63 × 105,989.32
  4. Step 4: Simplify right side
    308,450.64x = 49,026,698,081.17
  5. Step 5: Solve for x
    x = 49,026,698,081.17/308,450.64
  6. Step 6: Final answer
    x = 158,945.04

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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.