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Finding the Fourth Proportional to 395,347.41, 545,579.67 and 214,059.47

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Solution

The fourth proportional to 395,347.41, 545,579.67 and 214,059.47 is: 295,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,347.41 : 545,579.67 = 214,059.47 : x
  2. Step 2: Convert to fraction form
    395,347.41/545,579.67 = 214,059.47/x
  3. Step 3: Cross multiply
    395,347.41x = 545,579.67 × 214,059.47
  4. Step 4: Simplify right side
    395,347.41x = 116,786,492,275.08
  5. Step 5: Solve for x
    x = 116,786,492,275.08/395,347.41
  6. Step 6: Final answer
    x = 295,402.19

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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.