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Finding the Fourth Proportional to 473,719.80, 710,234.10 and 193,092.60

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Solution

The fourth proportional to 473,719.80, 710,234.10 and 193,092.60 is: 289,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,719.80 : 710,234.10 = 193,092.60 : x
  2. Step 2: Convert to fraction form
    473,719.80/710,234.10 = 193,092.60/x
  3. Step 3: Cross multiply
    473,719.80x = 710,234.10 × 193,092.60
  4. Step 4: Simplify right side
    473,719.80x = 137,140,948,977.66
  5. Step 5: Solve for x
    x = 137,140,948,977.66/473,719.80
  6. Step 6: Final answer
    x = 289,498.03

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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.