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Finding the Fourth Proportional to 395,416.89, 545,675.70 and 214,129.02

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Solution

The fourth proportional to 395,416.89, 545,675.70 and 214,129.02 is: 295,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,416.89 : 545,675.70 = 214,129.02 : x
  2. Step 2: Convert to fraction form
    395,416.89/545,675.70 = 214,129.02/x
  3. Step 3: Cross multiply
    395,416.89x = 545,675.70 × 214,129.02
  4. Step 4: Simplify right side
    395,416.89x = 116,845,002,878.81
  5. Step 5: Solve for x
    x = 116,845,002,878.81/395,416.89
  6. Step 6: Final answer
    x = 295,498.26

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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.