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Finding the Fourth Proportional to 597,422.16, 824,435.01 and 325,501.38

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Solution

The fourth proportional to 597,422.16, 824,435.01 and 325,501.38 is: 449,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,422.16 : 824,435.01 = 325,501.38 : x
  2. Step 2: Convert to fraction form
    597,422.16/824,435.01 = 325,501.38/x
  3. Step 3: Cross multiply
    597,422.16x = 824,435.01 × 325,501.38
  4. Step 4: Simplify right side
    597,422.16x = 268,354,733,475.31
  5. Step 5: Solve for x
    x = 268,354,733,475.31/597,422.16
  6. Step 6: Final answer
    x = 449,187.78

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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.