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Finding the Fourth Proportional to 410,880.84, 567,089.94 and 265,865.16

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Solution

The fourth proportional to 410,880.84, 567,089.94 and 265,865.16 is: 366,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,880.84 : 567,089.94 = 265,865.16 : x
  2. Step 2: Convert to fraction form
    410,880.84/567,089.94 = 265,865.16/x
  3. Step 3: Cross multiply
    410,880.84x = 567,089.94 × 265,865.16
  4. Step 4: Simplify right side
    410,880.84x = 150,769,457,632.49
  5. Step 5: Solve for x
    x = 150,769,457,632.49/410,880.84
  6. Step 6: Final answer
    x = 366,942.05

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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.