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Finding the Fourth Proportional to 364,938.24, 503,595.52 and 205,952

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Solution

The fourth proportional to 364,938.24, 503,595.52 and 205,952 is: 284,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,938.24 : 503,595.52 = 205,952 : x
  2. Step 2: Convert to fraction form
    364,938.24/503,595.52 = 205,952/x
  3. Step 3: Cross multiply
    364,938.24x = 503,595.52 × 205,952
  4. Step 4: Simplify right side
    364,938.24x = 103,716,504,535.04
  5. Step 5: Solve for x
    x = 103,716,504,535.04/364,938.24
  6. Step 6: Final answer
    x = 284,202.90

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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.