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Finding the Fourth Proportional to 473,558.57, 710,618.09 and 174,249.33

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Solution

The fourth proportional to 473,558.57, 710,618.09 and 174,249.33 is: 261,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,558.57 : 710,618.09 = 174,249.33 : x
  2. Step 2: Convert to fraction form
    473,558.57/710,618.09 = 174,249.33/x
  3. Step 3: Cross multiply
    473,558.57x = 710,618.09 × 174,249.33
  4. Step 4: Simplify right side
    473,558.57x = 123,824,728,280.55
  5. Step 5: Solve for x
    x = 123,824,728,280.55/473,558.57
  6. Step 6: Final answer
    x = 261,477.12

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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.