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Finding the Fourth Proportional to 596,576.64, 823,275.89 and 328,304.64

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Solution

The fourth proportional to 596,576.64, 823,275.89 and 328,304.64 is: 453,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,576.64 : 823,275.89 = 328,304.64 : x
  2. Step 2: Convert to fraction form
    596,576.64/823,275.89 = 328,304.64/x
  3. Step 3: Cross multiply
    596,576.64x = 823,275.89 × 328,304.64
  4. Step 4: Simplify right side
    596,576.64x = 270,285,293,045.61
  5. Step 5: Solve for x
    x = 270,285,293,045.61/596,576.64
  6. Step 6: Final answer
    x = 453,060.47

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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.