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Finding the Fourth Proportional to 364,430.24, 502,917.52 and 203,300

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Solution

The fourth proportional to 364,430.24, 502,917.52 and 203,300 is: 280,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,430.24 : 502,917.52 = 203,300 : x
  2. Step 2: Convert to fraction form
    364,430.24/502,917.52 = 203,300/x
  3. Step 3: Cross multiply
    364,430.24x = 502,917.52 × 203,300
  4. Step 4: Simplify right side
    364,430.24x = 102,243,131,816
  5. Step 5: Solve for x
    x = 102,243,131,816/364,430.24
  6. Step 6: Final answer
    x = 280,556.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.