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Finding the Fourth Proportional to 395,314.67, 545,533.46 and 214,026.57

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Solution

The fourth proportional to 395,314.67, 545,533.46 and 214,026.57 is: 295,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,314.67 : 545,533.46 = 214,026.57 : x
  2. Step 2: Convert to fraction form
    395,314.67/545,533.46 = 214,026.57/x
  3. Step 3: Cross multiply
    395,314.67x = 545,533.46 × 214,026.57
  4. Step 4: Simplify right side
    395,314.67x = 116,758,655,264.03
  5. Step 5: Solve for x
    x = 116,758,655,264.03/395,314.67
  6. Step 6: Final answer
    x = 295,356.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.