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Finding the Fourth Proportional to 428,039.82, 590,714.10 and 234,461.16

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Solution

The fourth proportional to 428,039.82, 590,714.10 and 234,461.16 is: 323,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,039.82 : 590,714.10 = 234,461.16 : x
  2. Step 2: Convert to fraction form
    428,039.82/590,714.10 = 234,461.16/x
  3. Step 3: Cross multiply
    428,039.82x = 590,714.10 × 234,461.16
  4. Step 4: Simplify right side
    428,039.82x = 138,499,513,114.36
  5. Step 5: Solve for x
    x = 138,499,513,114.36/428,039.82
  6. Step 6: Final answer
    x = 323,566.89

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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.