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Finding the Fourth Proportional to 438,477.36, 657,734.34 and 138,951.32

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Solution

The fourth proportional to 438,477.36, 657,734.34 and 138,951.32 is: 208,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,477.36 : 657,734.34 = 138,951.32 : x
  2. Step 2: Convert to fraction form
    438,477.36/657,734.34 = 138,951.32/x
  3. Step 3: Cross multiply
    438,477.36x = 657,734.34 × 138,951.32
  4. Step 4: Simplify right side
    438,477.36x = 91,393,054,752.33
  5. Step 5: Solve for x
    x = 91,393,054,752.33/438,477.36
  6. Step 6: Final answer
    x = 208,432.78

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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.