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Finding the Fourth Proportional to 597,224.75, 824,350.25 and 406,348.86

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Solution

The fourth proportional to 597,224.75, 824,350.25 and 406,348.86 is: 560,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,224.75 : 824,350.25 = 406,348.86 : x
  2. Step 2: Convert to fraction form
    597,224.75/824,350.25 = 406,348.86/x
  3. Step 3: Cross multiply
    597,224.75x = 824,350.25 × 406,348.86
  4. Step 4: Simplify right side
    597,224.75x = 334,973,780,206.46
  5. Step 5: Solve for x
    x = 334,973,780,206.46/597,224.75
  6. Step 6: Final answer
    x = 560,883.96

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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.