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Finding the Fourth Proportional to 597,765.11, 824,903.54 and 325,830.65

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Solution

The fourth proportional to 597,765.11, 824,903.54 and 325,830.65 is: 449,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,765.11 : 824,903.54 = 325,830.65 : x
  2. Step 2: Convert to fraction form
    597,765.11/824,903.54 = 325,830.65/x
  3. Step 3: Cross multiply
    597,765.11x = 824,903.54 × 325,830.65
  4. Step 4: Simplify right side
    597,765.11x = 268,778,856,625.50
  5. Step 5: Solve for x
    x = 268,778,856,625.50/597,765.11
  6. Step 6: Final answer
    x = 449,639.59

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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.