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Finding the Fourth Proportional to 473,638.12, 710,737.38 and 174,328.92

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Solution

The fourth proportional to 473,638.12, 710,737.38 and 174,328.92 is: 261,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,638.12 : 710,737.38 = 174,328.92 : x
  2. Step 2: Convert to fraction form
    473,638.12/710,737.38 = 174,328.92/x
  3. Step 3: Cross multiply
    473,638.12x = 710,737.38 × 174,328.92
  4. Step 4: Simplify right side
    473,638.12x = 123,902,079,859.03
  5. Step 5: Solve for x
    x = 123,902,079,859.03/473,638.12
  6. Step 6: Final answer
    x = 261,596.51

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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.