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Finding the Fourth Proportional to 764,613.64, 1,055,234.01 and 420,510.16

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Solution

The fourth proportional to 764,613.64, 1,055,234.01 and 420,510.16 is: 580,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,613.64 : 1,055,234.01 = 420,510.16 : x
  2. Step 2: Convert to fraction form
    764,613.64/1,055,234.01 = 420,510.16/x
  3. Step 3: Cross multiply
    764,613.64x = 1,055,234.01 × 420,510.16
  4. Step 4: Simplify right side
    764,613.64x = 443,736,622,382.54
  5. Step 5: Solve for x
    x = 443,736,622,382.54/764,613.64
  6. Step 6: Final answer
    x = 580,340.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.