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Finding the Fourth Proportional to 647,273.56, 893,652.60 and 417,933.40

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Solution

The fourth proportional to 647,273.56, 893,652.60 and 417,933.40 is: 577,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,273.56 : 893,652.60 = 417,933.40 : x
  2. Step 2: Convert to fraction form
    647,273.56/893,652.60 = 417,933.40/x
  3. Step 3: Cross multiply
    647,273.56x = 893,652.60 × 417,933.40
  4. Step 4: Simplify right side
    647,273.56x = 373,487,269,536.84
  5. Step 5: Solve for x
    x = 373,487,269,536.84/647,273.56
  6. Step 6: Final answer
    x = 577,016.11

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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.