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Finding the Fourth Proportional to 524,007.35, 785,450.33 and 271,033.10

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Solution

The fourth proportional to 524,007.35, 785,450.33 and 271,033.10 is: 406,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,007.35 : 785,450.33 = 271,033.10 : x
  2. Step 2: Convert to fraction form
    524,007.35/785,450.33 = 271,033.10/x
  3. Step 3: Cross multiply
    524,007.35x = 785,450.33 × 271,033.10
  4. Step 4: Simplify right side
    524,007.35x = 212,883,037,835.92
  5. Step 5: Solve for x
    x = 212,883,037,835.92/524,007.35
  6. Step 6: Final answer
    x = 406,259.64

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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.