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Finding the Fourth Proportional to 306,514.32, 459,542.42 and 211,473.30

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Solution

The fourth proportional to 306,514.32, 459,542.42 and 211,473.30 is: 317,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,514.32 : 459,542.42 = 211,473.30 : x
  2. Step 2: Convert to fraction form
    306,514.32/459,542.42 = 211,473.30/x
  3. Step 3: Cross multiply
    306,514.32x = 459,542.42 × 211,473.30
  4. Step 4: Simplify right side
    306,514.32x = 97,180,950,990.02
  5. Step 5: Solve for x
    x = 97,180,950,990.02/306,514.32
  6. Step 6: Final answer
    x = 317,051.91

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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.