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Finding the Fourth Proportional to 546,654.16, 819,415.32 and 265,822.48

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Solution

The fourth proportional to 546,654.16, 819,415.32 and 265,822.48 is: 398,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,654.16 : 819,415.32 = 265,822.48 : x
  2. Step 2: Convert to fraction form
    546,654.16/819,415.32 = 265,822.48/x
  3. Step 3: Cross multiply
    546,654.16x = 819,415.32 × 265,822.48
  4. Step 4: Simplify right side
    546,654.16x = 217,819,012,512.39
  5. Step 5: Solve for x
    x = 217,819,012,512.39/546,654.16
  6. Step 6: Final answer
    x = 398,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.