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Finding the Fourth Proportional to 597,110.92, 824,009.46 and 328,837

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Solution

The fourth proportional to 597,110.92, 824,009.46 and 328,837 is: 453,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,110.92 : 824,009.46 = 328,837 : x
  2. Step 2: Convert to fraction form
    597,110.92/824,009.46 = 328,837/x
  3. Step 3: Cross multiply
    597,110.92x = 824,009.46 × 328,837
  4. Step 4: Simplify right side
    597,110.92x = 270,964,798,798.02
  5. Step 5: Solve for x
    x = 270,964,798,798.02/597,110.92
  6. Step 6: Final answer
    x = 453,793.07

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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.