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Finding the Fourth Proportional to 313,663.36, 470,502.72 and 92,054.40

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Solution

The fourth proportional to 313,663.36, 470,502.72 and 92,054.40 is: 138,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,663.36 : 470,502.72 = 92,054.40 : x
  2. Step 2: Convert to fraction form
    313,663.36/470,502.72 = 92,054.40/x
  3. Step 3: Cross multiply
    313,663.36x = 470,502.72 × 92,054.40
  4. Step 4: Simplify right side
    313,663.36x = 43,311,845,587.97
  5. Step 5: Solve for x
    x = 43,311,845,587.97/313,663.36
  6. Step 6: Final answer
    x = 138,083.85

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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.