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Finding the Fourth Proportional to 650,896.52, 898,270.98 and 364,399.52

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Solution

The fourth proportional to 650,896.52, 898,270.98 and 364,399.52 is: 502,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,896.52 : 898,270.98 = 364,399.52 : x
  2. Step 2: Convert to fraction form
    650,896.52/898,270.98 = 364,399.52/x
  3. Step 3: Cross multiply
    650,896.52x = 898,270.98 × 364,399.52
  4. Step 4: Simplify right side
    650,896.52x = 327,329,513,941.93
  5. Step 5: Solve for x
    x = 327,329,513,941.93/650,896.52
  6. Step 6: Final answer
    x = 502,890.25

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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.