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Finding the Fourth Proportional to 597,681.90, 824,777 and 325,743.96

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Solution

The fourth proportional to 597,681.90, 824,777 and 325,743.96 is: 449,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,681.90 : 824,777 = 325,743.96 : x
  2. Step 2: Convert to fraction form
    597,681.90/824,777 = 325,743.96/x
  3. Step 3: Cross multiply
    597,681.90x = 824,777 × 325,743.96
  4. Step 4: Simplify right side
    597,681.90x = 268,666,126,096.92
  5. Step 5: Solve for x
    x = 268,666,126,096.92/597,681.90
  6. Step 6: Final answer
    x = 449,513.57

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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.