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Finding the Fourth Proportional to 473,609.40, 710,817.30 and 193,327.80

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Solution

The fourth proportional to 473,609.40, 710,817.30 and 193,327.80 is: 290,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,609.40 : 710,817.30 = 193,327.80 : x
  2. Step 2: Convert to fraction form
    473,609.40/710,817.30 = 193,327.80/x
  3. Step 3: Cross multiply
    473,609.40x = 710,817.30 × 193,327.80
  4. Step 4: Simplify right side
    473,609.40x = 137,420,744,810.94
  5. Step 5: Solve for x
    x = 137,420,744,810.94/473,609.40
  6. Step 6: Final answer
    x = 290,156.29

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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.