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Finding the Fourth Proportional to 597,192, 824,124.96 and 328,920

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Solution

The fourth proportional to 597,192, 824,124.96 and 328,920 is: 453,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,192 : 824,124.96 = 328,920 : x
  2. Step 2: Convert to fraction form
    597,192/824,124.96 = 328,920/x
  3. Step 3: Cross multiply
    597,192x = 824,124.96 × 328,920
  4. Step 4: Simplify right side
    597,192x = 271,071,181,843.20
  5. Step 5: Solve for x
    x = 271,071,181,843.20/597,192
  6. Step 6: Final answer
    x = 453,909.60

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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.