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Finding the Fourth Proportional to 597,613.25, 824,706.31 and 329,341.25

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Solution

The fourth proportional to 597,613.25, 824,706.31 and 329,341.25 is: 454,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,613.25 : 824,706.31 = 329,341.25 : x
  2. Step 2: Convert to fraction form
    597,613.25/824,706.31 = 329,341.25/x
  3. Step 3: Cross multiply
    597,613.25x = 824,706.31 × 329,341.25
  4. Step 4: Simplify right side
    597,613.25x = 271,609,805,371.58
  5. Step 5: Solve for x
    x = 271,609,805,371.58/597,613.25
  6. Step 6: Final answer
    x = 454,490.94

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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.