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Finding the Fourth Proportional to 415,825.30, 623,642.57 and 116,326.99

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Solution

The fourth proportional to 415,825.30, 623,642.57 and 116,326.99 is: 174,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.30 : 623,642.57 = 116,326.99 : x
  2. Step 2: Convert to fraction form
    415,825.30/623,642.57 = 116,326.99/x
  3. Step 3: Cross multiply
    415,825.30x = 623,642.57 × 116,326.99
  4. Step 4: Simplify right side
    415,825.30x = 72,546,460,863.22
  5. Step 5: Solve for x
    x = 72,546,460,863.22/415,825.30
  6. Step 6: Final answer
    x = 174,463.80

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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.