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Finding the Fourth Proportional to 547,128, 819,010.32 and 466,415.34

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Solution

The fourth proportional to 547,128, 819,010.32 and 466,415.34 is: 698,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,128 : 819,010.32 = 466,415.34 : x
  2. Step 2: Convert to fraction form
    547,128/819,010.32 = 466,415.34/x
  3. Step 3: Cross multiply
    547,128x = 819,010.32 × 466,415.34
  4. Step 4: Simplify right side
    547,128x = 381,998,976,866.31
  5. Step 5: Solve for x
    x = 381,998,976,866.31/547,128
  6. Step 6: Final answer
    x = 698,189.41

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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.