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Finding the Fourth Proportional to 338,705.93, 508,058.91 and 114,047.56

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Solution

The fourth proportional to 338,705.93, 508,058.91 and 114,047.56 is: 171,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,705.93 : 508,058.91 = 114,047.56 : x
  2. Step 2: Convert to fraction form
    338,705.93/508,058.91 = 114,047.56/x
  3. Step 3: Cross multiply
    338,705.93x = 508,058.91 × 114,047.56
  4. Step 4: Simplify right side
    338,705.93x = 57,942,878,451.52
  5. Step 5: Solve for x
    x = 57,942,878,451.52/338,705.93
  6. Step 6: Final answer
    x = 171,071.34

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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.