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Finding the Fourth Proportional to 597,478.45, 824,509.83 and 325,548.60

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Solution

The fourth proportional to 597,478.45, 824,509.83 and 325,548.60 is: 449,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,478.45 : 824,509.83 = 325,548.60 : x
  2. Step 2: Convert to fraction form
    597,478.45/824,509.83 = 325,548.60/x
  3. Step 3: Cross multiply
    597,478.45x = 824,509.83 × 325,548.60
  4. Step 4: Simplify right side
    597,478.45x = 268,418,020,842.74
  5. Step 5: Solve for x
    x = 268,418,020,842.74/597,478.45
  6. Step 6: Final answer
    x = 449,251.38

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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.