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Finding the Fourth Proportional to 597,506.96, 824,549 and 325,576.74

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Solution

The fourth proportional to 597,506.96, 824,549 and 325,576.74 is: 449,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,506.96 : 824,549 = 325,576.74 : x
  2. Step 2: Convert to fraction form
    597,506.96/824,549 = 325,576.74/x
  3. Step 3: Cross multiply
    597,506.96x = 824,549 × 325,576.74
  4. Step 4: Simplify right side
    597,506.96x = 268,453,975,390.26
  5. Step 5: Solve for x
    x = 268,453,975,390.26/597,506.96
  6. Step 6: Final answer
    x = 449,290.12

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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.