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Finding the Fourth Proportional to 305,440.84, 458,051.46 and 105,707.02

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Solution

The fourth proportional to 305,440.84, 458,051.46 and 105,707.02 is: 158,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,440.84 : 458,051.46 = 105,707.02 : x
  2. Step 2: Convert to fraction form
    305,440.84/458,051.46 = 105,707.02/x
  3. Step 3: Cross multiply
    305,440.84x = 458,051.46 × 105,707.02
  4. Step 4: Simplify right side
    305,440.84x = 48,419,254,843.25
  5. Step 5: Solve for x
    x = 48,419,254,843.25/305,440.84
  6. Step 6: Final answer
    x = 158,522.53

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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.