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Finding the Fourth Proportional to 320,514.48, 442,271.16 and 177,255

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Solution

The fourth proportional to 320,514.48, 442,271.16 and 177,255 is: 244,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,514.48 : 442,271.16 = 177,255 : x
  2. Step 2: Convert to fraction form
    320,514.48/442,271.16 = 177,255/x
  3. Step 3: Cross multiply
    320,514.48x = 442,271.16 × 177,255
  4. Step 4: Simplify right side
    320,514.48x = 78,394,774,465.80
  5. Step 5: Solve for x
    x = 78,394,774,465.80/320,514.48
  6. Step 6: Final answer
    x = 244,590.43

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