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Finding the Fourth Proportional to 395,883.69, 546,317.51 and 214,594.89

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Solution

The fourth proportional to 395,883.69, 546,317.51 and 214,594.89 is: 296,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,883.69 : 546,317.51 = 214,594.89 : x
  2. Step 2: Convert to fraction form
    395,883.69/546,317.51 = 214,594.89/x
  3. Step 3: Cross multiply
    395,883.69x = 546,317.51 × 214,594.89
  4. Step 4: Simplify right side
    395,883.69x = 117,236,944,890.55
  5. Step 5: Solve for x
    x = 117,236,944,890.55/395,883.69
  6. Step 6: Final answer
    x = 296,139.87

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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.