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Finding the Fourth Proportional to 395,421.40, 545,681.82 and 214,133.53

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Solution

The fourth proportional to 395,421.40, 545,681.82 and 214,133.53 is: 295,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,421.40 : 545,681.82 = 214,133.53 : x
  2. Step 2: Convert to fraction form
    395,421.40/545,681.82 = 214,133.53/x
  3. Step 3: Cross multiply
    395,421.40x = 545,681.82 × 214,133.53
  4. Step 4: Simplify right side
    395,421.40x = 116,848,773,812.22
  5. Step 5: Solve for x
    x = 116,848,773,812.22/395,421.40
  6. Step 6: Final answer
    x = 295,504.43

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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.