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Finding the Fourth Proportional to 531,769.66, 734,113.02 and 410,639.02

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Solution

The fourth proportional to 531,769.66, 734,113.02 and 410,639.02 is: 566,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,769.66 : 734,113.02 = 410,639.02 : x
  2. Step 2: Convert to fraction form
    531,769.66/734,113.02 = 410,639.02/x
  3. Step 3: Cross multiply
    531,769.66x = 734,113.02 × 410,639.02
  4. Step 4: Simplify right side
    531,769.66x = 301,455,450,806.65
  5. Step 5: Solve for x
    x = 301,455,450,806.65/531,769.66
  6. Step 6: Final answer
    x = 566,891.03

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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.