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Finding the Fourth Proportional to 315,705.56, 473,558.33 and 115,939.51

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Solution

The fourth proportional to 315,705.56, 473,558.33 and 115,939.51 is: 173,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,705.56 : 473,558.33 = 115,939.51 : x
  2. Step 2: Convert to fraction form
    315,705.56/473,558.33 = 115,939.51/x
  3. Step 3: Cross multiply
    315,705.56x = 473,558.33 × 115,939.51
  4. Step 4: Simplify right side
    315,705.56x = 54,904,119,842.57
  5. Step 5: Solve for x
    x = 54,904,119,842.57/315,705.56
  6. Step 6: Final answer
    x = 173,909.26

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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.