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Finding the Fourth Proportional to 597,508.16, 824,550.86 and 325,578.28

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Solution

The fourth proportional to 597,508.16, 824,550.86 and 325,578.28 is: 449,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,508.16 : 824,550.86 = 325,578.28 : x
  2. Step 2: Convert to fraction form
    597,508.16/824,550.86 = 325,578.28/x
  3. Step 3: Cross multiply
    597,508.16x = 824,550.86 × 325,578.28
  4. Step 4: Simplify right side
    597,508.16x = 268,455,850,771.32
  5. Step 5: Solve for x
    x = 268,455,850,771.32/597,508.16
  6. Step 6: Final answer
    x = 449,292.36

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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.