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Finding the Fourth Proportional to 473,528.31, 710,467.43 and 174,204.56

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Solution

The fourth proportional to 473,528.31, 710,467.43 and 174,204.56 is: 261,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,528.31 : 710,467.43 = 174,204.56 : x
  2. Step 2: Convert to fraction form
    473,528.31/710,467.43 = 174,204.56/x
  3. Step 3: Cross multiply
    473,528.31x = 710,467.43 × 174,204.56
  4. Step 4: Simplify right side
    473,528.31x = 123,766,661,614.12
  5. Step 5: Solve for x
    x = 123,766,661,614.12/473,528.31
  6. Step 6: Final answer
    x = 261,371.20

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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.