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Finding the Fourth Proportional to 589,642.88, 880,174.24 and 514,993.28

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Solution

The fourth proportional to 589,642.88, 880,174.24 and 514,993.28 is: 768,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,642.88 : 880,174.24 = 514,993.28 : x
  2. Step 2: Convert to fraction form
    589,642.88/880,174.24 = 514,993.28/x
  3. Step 3: Cross multiply
    589,642.88x = 880,174.24 × 514,993.28
  4. Step 4: Simplify right side
    589,642.88x = 453,283,818,829.11
  5. Step 5: Solve for x
    x = 453,283,818,829.11/589,642.88
  6. Step 6: Final answer
    x = 768,742.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.