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Finding the Fourth Proportional to 597,613.63, 824,706.82 and 329,341.63

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Solution

The fourth proportional to 597,613.63, 824,706.82 and 329,341.63 is: 454,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,613.63 : 824,706.82 = 329,341.63 : x
  2. Step 2: Convert to fraction form
    597,613.63/824,706.82 = 329,341.63/x
  3. Step 3: Cross multiply
    597,613.63x = 824,706.82 × 329,341.63
  4. Step 4: Simplify right side
    597,613.63x = 271,610,284,247.38
  5. Step 5: Solve for x
    x = 271,610,284,247.38/597,613.63
  6. Step 6: Final answer
    x = 454,491.45

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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.