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Finding the Fourth Proportional to 395,298.88, 545,511.76 and 214,010.76

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Solution

The fourth proportional to 395,298.88, 545,511.76 and 214,010.76 is: 295,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,298.88 : 545,511.76 = 214,010.76 : x
  2. Step 2: Convert to fraction form
    395,298.88/545,511.76 = 214,010.76/x
  3. Step 3: Cross multiply
    395,298.88x = 545,511.76 × 214,010.76
  4. Step 4: Simplify right side
    395,298.88x = 116,745,386,346.54
  5. Step 5: Solve for x
    x = 116,745,386,346.54/395,298.88
  6. Step 6: Final answer
    x = 295,334.47

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1.5x scale

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.