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Finding the Fourth Proportional to 597,761.74, 824,886.38 and 325,823.65

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Solution

The fourth proportional to 597,761.74, 824,886.38 and 325,823.65 is: 449,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,761.74 : 824,886.38 = 325,823.65 : x
  2. Step 2: Convert to fraction form
    597,761.74/824,886.38 = 325,823.65/x
  3. Step 3: Cross multiply
    597,761.74x = 824,886.38 × 325,823.65
  4. Step 4: Simplify right side
    597,761.74x = 268,767,489,919.23
  5. Step 5: Solve for x
    x = 268,767,489,919.23/597,761.74
  6. Step 6: Final answer
    x = 449,623.10

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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.