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Finding the Fourth Proportional to 534,012, 736,938.72 and 295,548

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Solution

The fourth proportional to 534,012, 736,938.72 and 295,548 is: 407,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,012 : 736,938.72 = 295,548 : x
  2. Step 2: Convert to fraction form
    534,012/736,938.72 = 295,548/x
  3. Step 3: Cross multiply
    534,012x = 736,938.72 × 295,548
  4. Step 4: Simplify right side
    534,012x = 217,800,764,818.56
  5. Step 5: Solve for x
    x = 217,800,764,818.56/534,012
  6. Step 6: Final answer
    x = 407,857.44

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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.