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Finding the Fourth Proportional to 598,838.64, 826,362.24 and 326,852.64

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Solution

The fourth proportional to 598,838.64, 826,362.24 and 326,852.64 is: 451,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,838.64 : 826,362.24 = 326,852.64 : x
  2. Step 2: Convert to fraction form
    598,838.64/826,362.24 = 326,852.64/x
  3. Step 3: Cross multiply
    598,838.64x = 826,362.24 × 326,852.64
  4. Step 4: Simplify right side
    598,838.64x = 270,098,679,740.31
  5. Step 5: Solve for x
    x = 270,098,679,740.31/598,838.64
  6. Step 6: Final answer
    x = 451,037.49

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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.