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Finding the Fourth Proportional to 733,462.52, 1,012,262.26 and 411,259.64

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Solution

The fourth proportional to 733,462.52, 1,012,262.26 and 411,259.64 is: 567,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,462.52 : 1,012,262.26 = 411,259.64 : x
  2. Step 2: Convert to fraction form
    733,462.52/1,012,262.26 = 411,259.64/x
  3. Step 3: Cross multiply
    733,462.52x = 1,012,262.26 × 411,259.64
  4. Step 4: Simplify right side
    733,462.52x = 416,302,612,633.19
  5. Step 5: Solve for x
    x = 416,302,612,633.19/733,462.52
  6. Step 6: Final answer
    x = 567,585.39

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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.