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Finding the Fourth Proportional to 542,156.45, 748,192.29 and 300,416.40

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Solution

The fourth proportional to 542,156.45, 748,192.29 and 300,416.40 is: 414,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,156.45 : 748,192.29 = 300,416.40 : x
  2. Step 2: Convert to fraction form
    542,156.45/748,192.29 = 300,416.40/x
  3. Step 3: Cross multiply
    542,156.45x = 748,192.29 × 300,416.40
  4. Step 4: Simplify right side
    542,156.45x = 224,769,234,269.56
  5. Step 5: Solve for x
    x = 224,769,234,269.56/542,156.45
  6. Step 6: Final answer
    x = 414,583.72

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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.