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Finding the Fourth Proportional to 473,692.40, 710,941.80 and 193,410.80

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Solution

The fourth proportional to 473,692.40, 710,941.80 and 193,410.80 is: 290,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,692.40 : 710,941.80 = 193,410.80 : x
  2. Step 2: Convert to fraction form
    473,692.40/710,941.80 = 193,410.80/x
  3. Step 3: Cross multiply
    473,692.40x = 710,941.80 × 193,410.80
  4. Step 4: Simplify right side
    473,692.40x = 137,503,822,291.44
  5. Step 5: Solve for x
    x = 137,503,822,291.44/473,692.40
  6. Step 6: Final answer
    x = 290,280.83

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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.