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Finding the Fourth Proportional to 383,079.60, 574,973.46 and 193,673.16

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Solution

The fourth proportional to 383,079.60, 574,973.46 and 193,673.16 is: 290,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,079.60 : 574,973.46 = 193,673.16 : x
  2. Step 2: Convert to fraction form
    383,079.60/574,973.46 = 193,673.16/x
  3. Step 3: Cross multiply
    383,079.60x = 574,973.46 × 193,673.16
  4. Step 4: Simplify right side
    383,079.60x = 111,356,926,914.33
  5. Step 5: Solve for x
    x = 111,356,926,914.33/383,079.60
  6. Step 6: Final answer
    x = 290,688.74

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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.