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Finding the Fourth Proportional to 498,239.40, 687,550.56 and 294,356

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Solution

The fourth proportional to 498,239.40, 687,550.56 and 294,356 is: 406,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,239.40 : 687,550.56 = 294,356 : x
  2. Step 2: Convert to fraction form
    498,239.40/687,550.56 = 294,356/x
  3. Step 3: Cross multiply
    498,239.40x = 687,550.56 × 294,356
  4. Step 4: Simplify right side
    498,239.40x = 202,384,632,639.36
  5. Step 5: Solve for x
    x = 202,384,632,639.36/498,239.40
  6. Step 6: Final answer
    x = 406,199.58

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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.