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Finding the Fourth Proportional to 597,117.92, 824,019.12 and 328,844

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Solution

The fourth proportional to 597,117.92, 824,019.12 and 328,844 is: 453,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,117.92 : 824,019.12 = 328,844 : x
  2. Step 2: Convert to fraction form
    597,117.92/824,019.12 = 328,844/x
  3. Step 3: Cross multiply
    597,117.92x = 824,019.12 × 328,844
  4. Step 4: Simplify right side
    597,117.92x = 270,973,743,497.28
  5. Step 5: Solve for x
    x = 270,973,743,497.28/597,117.92
  6. Step 6: Final answer
    x = 453,802.73

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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.