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Finding the Fourth Proportional to 407,005.58, 610,627.74 and 182,316.04

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Solution

The fourth proportional to 407,005.58, 610,627.74 and 182,316.04 is: 273,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,005.58 : 610,627.74 = 182,316.04 : x
  2. Step 2: Convert to fraction form
    407,005.58/610,627.74 = 182,316.04/x
  3. Step 3: Cross multiply
    407,005.58x = 610,627.74 × 182,316.04
  4. Step 4: Simplify right side
    407,005.58x = 111,327,231,470.95
  5. Step 5: Solve for x
    x = 111,327,231,470.95/407,005.58
  6. Step 6: Final answer
    x = 273,527.53

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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.