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Finding the Fourth Proportional to 395,673.64, 546,030.30 and 214,385.56

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Solution

The fourth proportional to 395,673.64, 546,030.30 and 214,385.56 is: 295,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,673.64 : 546,030.30 = 214,385.56 : x
  2. Step 2: Convert to fraction form
    395,673.64/546,030.30 = 214,385.56/x
  3. Step 3: Cross multiply
    395,673.64x = 546,030.30 × 214,385.56
  4. Step 4: Simplify right side
    395,673.64x = 117,061,011,642.47
  5. Step 5: Solve for x
    x = 117,061,011,642.47/395,673.64
  6. Step 6: Final answer
    x = 295,852.44

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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.