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Finding the Fourth Proportional to 514,617.57, 771,762.74 and 481,034.16

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Solution

The fourth proportional to 514,617.57, 771,762.74 and 481,034.16 is: 721,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,617.57 : 771,762.74 = 481,034.16 : x
  2. Step 2: Convert to fraction form
    514,617.57/771,762.74 = 481,034.16/x
  3. Step 3: Cross multiply
    514,617.57x = 771,762.74 × 481,034.16
  4. Step 4: Simplify right side
    514,617.57x = 371,244,238,950.03
  5. Step 5: Solve for x
    x = 371,244,238,950.03/514,617.57
  6. Step 6: Final answer
    x = 721,398.30

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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.