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Finding the Fourth Proportional to 591,636.96, 814,739.04 and 514,080

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Solution

The fourth proportional to 591,636.96, 814,739.04 and 514,080 is: 707,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,636.96 : 814,739.04 = 514,080 : x
  2. Step 2: Convert to fraction form
    591,636.96/814,739.04 = 514,080/x
  3. Step 3: Cross multiply
    591,636.96x = 814,739.04 × 514,080
  4. Step 4: Simplify right side
    591,636.96x = 418,841,045,683.20
  5. Step 5: Solve for x
    x = 418,841,045,683.20/591,636.96
  6. Step 6: Final answer
    x = 707,935.90

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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.