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Finding the Fourth Proportional to 534,123, 737,089.74 and 295,659

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Solution

The fourth proportional to 534,123, 737,089.74 and 295,659 is: 408,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,123 : 737,089.74 = 295,659 : x
  2. Step 2: Convert to fraction form
    534,123/737,089.74 = 295,659/x
  3. Step 3: Cross multiply
    534,123x = 737,089.74 × 295,659
  4. Step 4: Simplify right side
    534,123x = 217,927,215,438.66
  5. Step 5: Solve for x
    x = 217,927,215,438.66/534,123
  6. Step 6: Final answer
    x = 408,009.42

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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.