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Finding the Fourth Proportional to 320,644.68, 442,410.02 and 207,331.08

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Solution

The fourth proportional to 320,644.68, 442,410.02 and 207,331.08 is: 286,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,644.68 : 442,410.02 = 207,331.08 : x
  2. Step 2: Convert to fraction form
    320,644.68/442,410.02 = 207,331.08/x
  3. Step 3: Cross multiply
    320,644.68x = 442,410.02 × 207,331.08
  4. Step 4: Simplify right side
    320,644.68x = 91,725,347,249.42
  5. Step 5: Solve for x
    x = 91,725,347,249.42/320,644.68
  6. Step 6: Final answer
    x = 286,065.40

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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.