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Finding the Fourth Proportional to 395,302.88, 545,518.14 and 214,014.80

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Solution

The fourth proportional to 395,302.88, 545,518.14 and 214,014.80 is: 295,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,302.88 : 545,518.14 = 214,014.80 : x
  2. Step 2: Convert to fraction form
    395,302.88/545,518.14 = 214,014.80/x
  3. Step 3: Cross multiply
    395,302.88x = 545,518.14 × 214,014.80
  4. Step 4: Simplify right side
    395,302.88x = 116,748,955,628.47
  5. Step 5: Solve for x
    x = 116,748,955,628.47/395,302.88
  6. Step 6: Final answer
    x = 295,340.51

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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.