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Finding the Fourth Proportional to 473,920.20, 711,161.10 and 174,611.16

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Solution

The fourth proportional to 473,920.20, 711,161.10 and 174,611.16 is: 262,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,920.20 : 711,161.10 = 174,611.16 : x
  2. Step 2: Convert to fraction form
    473,920.20/711,161.10 = 174,611.16/x
  3. Step 3: Cross multiply
    473,920.20x = 711,161.10 × 174,611.16
  4. Step 4: Simplify right side
    473,920.20x = 124,176,664,617.88
  5. Step 5: Solve for x
    x = 124,176,664,617.88/473,920.20
  6. Step 6: Final answer
    x = 262,020.20

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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.