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Finding the Fourth Proportional to 541,817.70, 747,700.19 and 296,800.50

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Solution

The fourth proportional to 541,817.70, 747,700.19 and 296,800.50 is: 409,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,817.70 : 747,700.19 = 296,800.50 : x
  2. Step 2: Convert to fraction form
    541,817.70/747,700.19 = 296,800.50/x
  3. Step 3: Cross multiply
    541,817.70x = 747,700.19 × 296,800.50
  4. Step 4: Simplify right side
    541,817.70x = 221,917,786,503.59
  5. Step 5: Solve for x
    x = 221,917,786,503.59/541,817.70
  6. Step 6: Final answer
    x = 409,580.17

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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.