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Finding the Fourth Proportional to 653,846.88, 902,309.46 and 367,366.80

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Solution

The fourth proportional to 653,846.88, 902,309.46 and 367,366.80 is: 506,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,846.88 : 902,309.46 = 367,366.80 : x
  2. Step 2: Convert to fraction form
    653,846.88/902,309.46 = 367,366.80/x
  3. Step 3: Cross multiply
    653,846.88x = 902,309.46 × 367,366.80
  4. Step 4: Simplify right side
    653,846.88x = 331,478,538,929.93
  5. Step 5: Solve for x
    x = 331,478,538,929.93/653,846.88
  6. Step 6: Final answer
    x = 506,966.61

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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.