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Finding the Fourth Proportional to 546,374.21, 819,093.85 and 209,656.49

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Solution

The fourth proportional to 546,374.21, 819,093.85 and 209,656.49 is: 314,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,374.21 : 819,093.85 = 209,656.49 : x
  2. Step 2: Convert to fraction form
    546,374.21/819,093.85 = 209,656.49/x
  3. Step 3: Cross multiply
    546,374.21x = 819,093.85 × 209,656.49
  4. Step 4: Simplify right side
    546,374.21x = 171,728,343,095.18
  5. Step 5: Solve for x
    x = 171,728,343,095.18/546,374.21
  6. Step 6: Final answer
    x = 314,305.36

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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.