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Finding the Fourth Proportional to 316,231.20, 473,416.56 and 197,542.80

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Solution

The fourth proportional to 316,231.20, 473,416.56 and 197,542.80 is: 295,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,231.20 : 473,416.56 = 197,542.80 : x
  2. Step 2: Convert to fraction form
    316,231.20/473,416.56 = 197,542.80/x
  3. Step 3: Cross multiply
    316,231.20x = 473,416.56 × 197,542.80
  4. Step 4: Simplify right side
    316,231.20x = 93,520,032,828.77
  5. Step 5: Solve for x
    x = 93,520,032,828.77/316,231.20
  6. Step 6: Final answer
    x = 295,733.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.