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Finding the Fourth Proportional to 582,512.24, 803,452.82 and 388,822.30

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Solution

The fourth proportional to 582,512.24, 803,452.82 and 388,822.30 is: 536,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,512.24 : 803,452.82 = 388,822.30 : x
  2. Step 2: Convert to fraction form
    582,512.24/803,452.82 = 388,822.30/x
  3. Step 3: Cross multiply
    582,512.24x = 803,452.82 × 388,822.30
  4. Step 4: Simplify right side
    582,512.24x = 312,400,369,461.14
  5. Step 5: Solve for x
    x = 312,400,369,461.14/582,512.24
  6. Step 6: Final answer
    x = 536,298.38

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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.