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Finding the Fourth Proportional to 542,226.60, 813,184.38 and 209,724.84

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Solution

The fourth proportional to 542,226.60, 813,184.38 and 209,724.84 is: 314,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,226.60 : 813,184.38 = 209,724.84 : x
  2. Step 2: Convert to fraction form
    542,226.60/813,184.38 = 209,724.84/x
  3. Step 3: Cross multiply
    542,226.60x = 813,184.38 × 209,724.84
  4. Step 4: Simplify right side
    542,226.60x = 170,544,963,986.00
  5. Step 5: Solve for x
    x = 170,544,963,986.00/542,226.60
  6. Step 6: Final answer
    x = 314,527.11

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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.