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Finding the Fourth Proportional to 597,535.96, 824,589 and 325,605.76

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Solution

The fourth proportional to 597,535.96, 824,589 and 325,605.76 is: 449,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,535.96 : 824,589 = 325,605.76 : x
  2. Step 2: Convert to fraction form
    597,535.96/824,589 = 325,605.76/x
  3. Step 3: Cross multiply
    597,535.96x = 824,589 × 325,605.76
  4. Step 4: Simplify right side
    597,535.96x = 268,490,928,032.64
  5. Step 5: Solve for x
    x = 268,490,928,032.64/597,535.96
  6. Step 6: Final answer
    x = 449,330.16

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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.