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Finding the Fourth Proportional to 493,315.92, 739,674.20 and 193,437.20

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Solution

The fourth proportional to 493,315.92, 739,674.20 and 193,437.20 is: 290,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,315.92 : 739,674.20 = 193,437.20 : x
  2. Step 2: Convert to fraction form
    493,315.92/739,674.20 = 193,437.20/x
  3. Step 3: Cross multiply
    493,315.92x = 739,674.20 × 193,437.20
  4. Step 4: Simplify right side
    493,315.92x = 143,080,506,160.24
  5. Step 5: Solve for x
    x = 143,080,506,160.24/493,315.92
  6. Step 6: Final answer
    x = 290,038.29

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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.