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Finding the Fourth Proportional to 380,524.41, 525,127.55 and 229,592.25

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Solution

The fourth proportional to 380,524.41, 525,127.55 and 229,592.25 is: 316,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,524.41 : 525,127.55 = 229,592.25 : x
  2. Step 2: Convert to fraction form
    380,524.41/525,127.55 = 229,592.25/x
  3. Step 3: Cross multiply
    380,524.41x = 525,127.55 × 229,592.25
  4. Step 4: Simplify right side
    380,524.41x = 120,565,215,741.49
  5. Step 5: Solve for x
    x = 120,565,215,741.49/380,524.41
  6. Step 6: Final answer
    x = 316,839.64

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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.