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Finding the Fourth Proportional to 493,312.74, 739,974.70 and 173,474.12

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Solution

The fourth proportional to 493,312.74, 739,974.70 and 173,474.12 is: 260,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,312.74 : 739,974.70 = 173,474.12 : x
  2. Step 2: Convert to fraction form
    493,312.74/739,974.70 = 173,474.12/x
  3. Step 3: Cross multiply
    493,312.74x = 739,974.70 × 173,474.12
  4. Step 4: Simplify right side
    493,312.74x = 128,366,459,904.76
  5. Step 5: Solve for x
    x = 128,366,459,904.76/493,312.74
  6. Step 6: Final answer
    x = 260,213.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.