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Finding the Fourth Proportional to 515,825.36, 711,908.52 and 289,483.28

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Solution

The fourth proportional to 515,825.36, 711,908.52 and 289,483.28 is: 399,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,825.36 : 711,908.52 = 289,483.28 : x
  2. Step 2: Convert to fraction form
    515,825.36/711,908.52 = 289,483.28/x
  3. Step 3: Cross multiply
    515,825.36x = 711,908.52 × 289,483.28
  4. Step 4: Simplify right side
    515,825.36x = 206,085,613,429.55
  5. Step 5: Solve for x
    x = 206,085,613,429.55/515,825.36
  6. Step 6: Final answer
    x = 399,525.94

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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.