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Finding the Fourth Proportional to 478,244.33, 659,951.87 and 274,284.77

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Solution

The fourth proportional to 478,244.33, 659,951.87 and 274,284.77 is: 378,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,244.33 : 659,951.87 = 274,284.77 : x
  2. Step 2: Convert to fraction form
    478,244.33/659,951.87 = 274,284.77/x
  3. Step 3: Cross multiply
    478,244.33x = 659,951.87 × 274,284.77
  4. Step 4: Simplify right side
    478,244.33x = 181,014,744,259.97
  5. Step 5: Solve for x
    x = 181,014,744,259.97/478,244.33
  6. Step 6: Final answer
    x = 378,498.47

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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.