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Finding the Fourth Proportional to 596,574.64, 823,273.12 and 328,302.64

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Solution

The fourth proportional to 596,574.64, 823,273.12 and 328,302.64 is: 453,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,574.64 : 823,273.12 = 328,302.64 : x
  2. Step 2: Convert to fraction form
    596,574.64/823,273.12 = 328,302.64/x
  3. Step 3: Cross multiply
    596,574.64x = 823,273.12 × 328,302.64
  4. Step 4: Simplify right side
    596,574.64x = 270,282,738,737.04
  5. Step 5: Solve for x
    x = 270,282,738,737.04/596,574.64
  6. Step 6: Final answer
    x = 453,057.71

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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.