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Finding the Fourth Proportional to 678,326.48, 935,824.16 and 406,405.84

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Solution

The fourth proportional to 678,326.48, 935,824.16 and 406,405.84 is: 560,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,326.48 : 935,824.16 = 406,405.84 : x
  2. Step 2: Convert to fraction form
    678,326.48/935,824.16 = 406,405.84/x
  3. Step 3: Cross multiply
    678,326.48x = 935,824.16 × 406,405.84
  4. Step 4: Simplify right side
    678,326.48x = 380,324,403,837.09
  5. Step 5: Solve for x
    x = 380,324,403,837.09/678,326.48
  6. Step 6: Final answer
    x = 560,680.46

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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.