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Finding the Fourth Proportional to 315,580.56, 473,605.94 and 231,557.84

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Solution

The fourth proportional to 315,580.56, 473,605.94 and 231,557.84 is: 347,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,580.56 : 473,605.94 = 231,557.84 : x
  2. Step 2: Convert to fraction form
    315,580.56/473,605.94 = 231,557.84/x
  3. Step 3: Cross multiply
    315,580.56x = 473,605.94 × 231,557.84
  4. Step 4: Simplify right side
    315,580.56x = 109,667,168,477.57
  5. Step 5: Solve for x
    x = 109,667,168,477.57/315,580.56
  6. Step 6: Final answer
    x = 347,509.27

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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.