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Finding the Fourth Proportional to 778,239, 1,073,969.82 and 420,543

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Solution

The fourth proportional to 778,239, 1,073,969.82 and 420,543 is: 580,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,239 : 1,073,969.82 = 420,543 : x
  2. Step 2: Convert to fraction form
    778,239/1,073,969.82 = 420,543/x
  3. Step 3: Cross multiply
    778,239x = 1,073,969.82 × 420,543
  4. Step 4: Simplify right side
    778,239x = 451,650,490,012.26
  5. Step 5: Solve for x
    x = 451,650,490,012.26/778,239
  6. Step 6: Final answer
    x = 580,349.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.