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Finding the Fourth Proportional to 541,898.17, 747,810.12 and 300,175.67

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Solution

The fourth proportional to 541,898.17, 747,810.12 and 300,175.67 is: 414,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,898.17 : 747,810.12 = 300,175.67 : x
  2. Step 2: Convert to fraction form
    541,898.17/747,810.12 = 300,175.67/x
  3. Step 3: Cross multiply
    541,898.17x = 747,810.12 × 300,175.67
  4. Step 4: Simplify right side
    541,898.17x = 224,474,403,803.78
  5. Step 5: Solve for x
    x = 224,474,403,803.78/541,898.17
  6. Step 6: Final answer
    x = 414,237.24

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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.