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Finding the Fourth Proportional to 577,042.81, 796,541.31 and 516,506.65

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Solution

The fourth proportional to 577,042.81, 796,541.31 and 516,506.65 is: 712,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,042.81 : 796,541.31 = 516,506.65 : x
  2. Step 2: Convert to fraction form
    577,042.81/796,541.31 = 516,506.65/x
  3. Step 3: Cross multiply
    577,042.81x = 796,541.31 × 516,506.65
  4. Step 4: Simplify right side
    577,042.81x = 411,418,881,623.36
  5. Step 5: Solve for x
    x = 411,418,881,623.36/577,042.81
  6. Step 6: Final answer
    x = 712,978.09

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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.