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Finding the Fourth Proportional to 521,706.77, 782,539.59 and 184,733.81

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Solution

The fourth proportional to 521,706.77, 782,539.59 and 184,733.81 is: 277,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,706.77 : 782,539.59 = 184,733.81 : x
  2. Step 2: Convert to fraction form
    521,706.77/782,539.59 = 184,733.81/x
  3. Step 3: Cross multiply
    521,706.77x = 782,539.59 × 184,733.81
  4. Step 4: Simplify right side
    521,706.77x = 144,561,516,023.84
  5. Step 5: Solve for x
    x = 144,561,516,023.84/521,706.77
  6. Step 6: Final answer
    x = 277,093.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.