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Finding the Fourth Proportional to 597,243, 824,195.34 and 328,971

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Solution

The fourth proportional to 597,243, 824,195.34 and 328,971 is: 453,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,243 : 824,195.34 = 328,971 : x
  2. Step 2: Convert to fraction form
    597,243/824,195.34 = 328,971/x
  3. Step 3: Cross multiply
    597,243x = 824,195.34 × 328,971
  4. Step 4: Simplify right side
    597,243x = 271,136,365,195.14
  5. Step 5: Solve for x
    x = 271,136,365,195.14/597,243
  6. Step 6: Final answer
    x = 453,979.98

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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.