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Finding the Fourth Proportional to 506,435.94, 698,853.24 and 276,947.46

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Solution

The fourth proportional to 506,435.94, 698,853.24 and 276,947.46 is: 382,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,435.94 : 698,853.24 = 276,947.46 : x
  2. Step 2: Convert to fraction form
    506,435.94/698,853.24 = 276,947.46/x
  3. Step 3: Cross multiply
    506,435.94x = 698,853.24 × 276,947.46
  4. Step 4: Simplify right side
    506,435.94x = 193,545,629,730.77
  5. Step 5: Solve for x
    x = 193,545,629,730.77/506,435.94
  6. Step 6: Final answer
    x = 382,171.99

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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.