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Finding the Fourth Proportional to 597,400.92, 824,410.80 and 325,468

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Solution

The fourth proportional to 597,400.92, 824,410.80 and 325,468 is: 449,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,400.92 : 824,410.80 = 325,468 : x
  2. Step 2: Convert to fraction form
    597,400.92/824,410.80 = 325,468/x
  3. Step 3: Cross multiply
    597,400.92x = 824,410.80 × 325,468
  4. Step 4: Simplify right side
    597,400.92x = 268,319,334,254.40
  5. Step 5: Solve for x
    x = 268,319,334,254.40/597,400.92
  6. Step 6: Final answer
    x = 449,144.49

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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.