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Finding the Fourth Proportional to 410,200.10, 614,226.06 and 329,810.84

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Solution

The fourth proportional to 410,200.10, 614,226.06 and 329,810.84 is: 493,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,200.10 : 614,226.06 = 329,810.84 : x
  2. Step 2: Convert to fraction form
    410,200.10/614,226.06 = 329,810.84/x
  3. Step 3: Cross multiply
    410,200.10x = 614,226.06 × 329,810.84
  4. Step 4: Simplify right side
    410,200.10x = 202,578,409,727.36
  5. Step 5: Solve for x
    x = 202,578,409,727.36/410,200.10
  6. Step 6: Final answer
    x = 493,852.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.