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Finding the Fourth Proportional to 521,283.41, 781,989.50 and 184,254.56

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Solution

The fourth proportional to 521,283.41, 781,989.50 and 184,254.56 is: 276,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,283.41 : 781,989.50 = 184,254.56 : x
  2. Step 2: Convert to fraction form
    521,283.41/781,989.50 = 184,254.56/x
  3. Step 3: Cross multiply
    521,283.41x = 781,989.50 × 184,254.56
  4. Step 4: Simplify right side
    521,283.41x = 144,085,127,337.17
  5. Step 5: Solve for x
    x = 144,085,127,337.17/521,283.41
  6. Step 6: Final answer
    x = 276,404.59

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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.