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Finding the Fourth Proportional to 410,666.90, 566,714.33 and 229,381.39

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Solution

The fourth proportional to 410,666.90, 566,714.33 and 229,381.39 is: 316,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,666.90 : 566,714.33 = 229,381.39 : x
  2. Step 2: Convert to fraction form
    410,666.90/566,714.33 = 229,381.39/x
  3. Step 3: Cross multiply
    410,666.90x = 566,714.33 × 229,381.39
  4. Step 4: Simplify right side
    410,666.90x = 129,993,717,914.75
  5. Step 5: Solve for x
    x = 129,993,717,914.75/410,666.90
  6. Step 6: Final answer
    x = 316,542.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.