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Finding the Fourth Proportional to 473,965.02, 710,999.37 and 174,589.02

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Solution

The fourth proportional to 473,965.02, 710,999.37 and 174,589.02 is: 261,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,965.02 : 710,999.37 = 174,589.02 : x
  2. Step 2: Convert to fraction form
    473,965.02/710,999.37 = 174,589.02/x
  3. Step 3: Cross multiply
    473,965.02x = 710,999.37 × 174,589.02
  4. Step 4: Simplify right side
    473,965.02x = 124,132,683,228.92
  5. Step 5: Solve for x
    x = 124,132,683,228.92/473,965.02
  6. Step 6: Final answer
    x = 261,902.63

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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.