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Finding the Fourth Proportional to 541,856.68, 747,754.32 and 300,138.46

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Solution

The fourth proportional to 541,856.68, 747,754.32 and 300,138.46 is: 414,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,856.68 : 747,754.32 = 300,138.46 : x
  2. Step 2: Convert to fraction form
    541,856.68/747,754.32 = 300,138.46/x
  3. Step 3: Cross multiply
    541,856.68x = 747,754.32 × 300,138.46
  4. Step 4: Simplify right side
    541,856.68x = 224,429,830,063.15
  5. Step 5: Solve for x
    x = 224,429,830,063.15/541,856.68
  6. Step 6: Final answer
    x = 414,186.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.