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Finding the Fourth Proportional to 395,412.24, 545,671.44 and 214,124.16

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Solution

The fourth proportional to 395,412.24, 545,671.44 and 214,124.16 is: 295,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,412.24 : 545,671.44 = 214,124.16 : x
  2. Step 2: Convert to fraction form
    395,412.24/545,671.44 = 214,124.16/x
  3. Step 3: Cross multiply
    395,412.24x = 545,671.44 × 214,124.16
  4. Step 4: Simplify right side
    395,412.24x = 116,841,438,725.99
  5. Step 5: Solve for x
    x = 116,841,438,725.99/395,412.24
  6. Step 6: Final answer
    x = 295,492.72

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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.