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Finding the Fourth Proportional to 597,616.50, 824,686.73 and 325,678.60

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Solution

The fourth proportional to 597,616.50, 824,686.73 and 325,678.60 is: 449,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,616.50 : 824,686.73 = 325,678.60 : x
  2. Step 2: Convert to fraction form
    597,616.50/824,686.73 = 325,678.60/x
  3. Step 3: Cross multiply
    597,616.50x = 824,686.73 × 325,678.60
  4. Step 4: Simplify right side
    597,616.50x = 268,582,820,288.74
  5. Step 5: Solve for x
    x = 268,582,820,288.74/597,616.50
  6. Step 6: Final answer
    x = 449,423.37

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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.