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Finding the Fourth Proportional to 380,517.66, 525,118.23 and 229,585.50

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Solution

The fourth proportional to 380,517.66, 525,118.23 and 229,585.50 is: 316,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,517.66 : 525,118.23 = 229,585.50 : x
  2. Step 2: Convert to fraction form
    380,517.66/525,118.23 = 229,585.50/x
  3. Step 3: Cross multiply
    380,517.66x = 525,118.23 × 229,585.50
  4. Step 4: Simplify right side
    380,517.66x = 120,559,531,393.67
  5. Step 5: Solve for x
    x = 120,559,531,393.67/380,517.66
  6. Step 6: Final answer
    x = 316,830.32

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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.