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Finding the Fourth Proportional to 597,468.15, 824,495.69 and 325,538.26

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Solution

The fourth proportional to 597,468.15, 824,495.69 and 325,538.26 is: 449,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,468.15 : 824,495.69 = 325,538.26 : x
  2. Step 2: Convert to fraction form
    597,468.15/824,495.69 = 325,538.26/x
  3. Step 3: Cross multiply
    597,468.15x = 824,495.69 × 325,538.26
  4. Step 4: Simplify right side
    597,468.15x = 268,404,891,052.71
  5. Step 5: Solve for x
    x = 268,404,891,052.71/597,468.15
  6. Step 6: Final answer
    x = 449,237.15

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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.