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Finding the Fourth Proportional to 315,582.56, 473,608.94 and 231,559.84

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Solution

The fourth proportional to 315,582.56, 473,608.94 and 231,559.84 is: 347,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,582.56 : 473,608.94 = 231,559.84 : x
  2. Step 2: Convert to fraction form
    315,582.56/473,608.94 = 231,559.84/x
  3. Step 3: Cross multiply
    315,582.56x = 473,608.94 × 231,559.84
  4. Step 4: Simplify right side
    315,582.56x = 109,668,810,368.97
  5. Step 5: Solve for x
    x = 109,668,810,368.97/315,582.56
  6. Step 6: Final answer
    x = 347,512.27

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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.