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Finding the Fourth Proportional to 512,107.77, 707,041.61 and 458,300.28

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Solution

The fourth proportional to 512,107.77, 707,041.61 and 458,300.28 is: 632,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,107.77 : 707,041.61 = 458,300.28 : x
  2. Step 2: Convert to fraction form
    512,107.77/707,041.61 = 458,300.28/x
  3. Step 3: Cross multiply
    512,107.77x = 707,041.61 × 458,300.28
  4. Step 4: Simplify right side
    512,107.77x = 324,037,362,007.94
  5. Step 5: Solve for x
    x = 324,037,362,007.94/512,107.77
  6. Step 6: Final answer
    x = 632,752.29

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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.