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Finding the Fourth Proportional to 382,032.48, 573,067.76 and 145,393.50

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Solution

The fourth proportional to 382,032.48, 573,067.76 and 145,393.50 is: 218,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,032.48 : 573,067.76 = 145,393.50 : x
  2. Step 2: Convert to fraction form
    382,032.48/573,067.76 = 145,393.50/x
  3. Step 3: Cross multiply
    382,032.48x = 573,067.76 × 145,393.50
  4. Step 4: Simplify right side
    382,032.48x = 83,320,323,771.25
  5. Step 5: Solve for x
    x = 83,320,323,771.25/382,032.48
  6. Step 6: Final answer
    x = 218,097.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.