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Finding the Fourth Proportional to 653,768.06, 902,151.42 and 367,335.86

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Solution

The fourth proportional to 653,768.06, 902,151.42 and 367,335.86 is: 506,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,768.06 : 902,151.42 = 367,335.86 : x
  2. Step 2: Convert to fraction form
    653,768.06/902,151.42 = 367,335.86/x
  3. Step 3: Cross multiply
    653,768.06x = 902,151.42 × 367,335.86
  4. Step 4: Simplify right side
    653,768.06x = 331,392,567,715.92
  5. Step 5: Solve for x
    x = 331,392,567,715.92/653,768.06
  6. Step 6: Final answer
    x = 506,896.23

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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.