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Finding the Fourth Proportional to 338,663.57, 467,350.31 and 185,703.08

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Solution

The fourth proportional to 338,663.57, 467,350.31 and 185,703.08 is: 256,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,663.57 : 467,350.31 = 185,703.08 : x
  2. Step 2: Convert to fraction form
    338,663.57/467,350.31 = 185,703.08/x
  3. Step 3: Cross multiply
    338,663.57x = 467,350.31 × 185,703.08
  4. Step 4: Simplify right side
    338,663.57x = 86,788,389,746.09
  5. Step 5: Solve for x
    x = 86,788,389,746.09/338,663.57
  6. Step 6: Final answer
    x = 256,267.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.