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Finding the Fourth Proportional to 597,675.64, 824,768.32 and 325,737.68

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Solution

The fourth proportional to 597,675.64, 824,768.32 and 325,737.68 is: 449,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,675.64 : 824,768.32 = 325,737.68 : x
  2. Step 2: Convert to fraction form
    597,675.64/824,768.32 = 325,737.68/x
  3. Step 3: Cross multiply
    597,675.64x = 824,768.32 × 325,737.68
  4. Step 4: Simplify right side
    597,675.64x = 268,658,113,341.77
  5. Step 5: Solve for x
    x = 268,658,113,341.77/597,675.64
  6. Step 6: Final answer
    x = 449,504.88

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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.