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Finding the Fourth Proportional to 507,863.20, 761,846.64 and 175,396

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Solution

The fourth proportional to 507,863.20, 761,846.64 and 175,396 is: 263,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,863.20 : 761,846.64 = 175,396 : x
  2. Step 2: Convert to fraction form
    507,863.20/761,846.64 = 175,396/x
  3. Step 3: Cross multiply
    507,863.20x = 761,846.64 × 175,396
  4. Step 4: Simplify right side
    507,863.20x = 133,624,853,269.44
  5. Step 5: Solve for x
    x = 133,624,853,269.44/507,863.20
  6. Step 6: Final answer
    x = 263,111.90

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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.