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Finding the Fourth Proportional to 380,512.16, 525,110.64 and 229,580

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Solution

The fourth proportional to 380,512.16, 525,110.64 and 229,580 is: 316,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,512.16 : 525,110.64 = 229,580 : x
  2. Step 2: Convert to fraction form
    380,512.16/525,110.64 = 229,580/x
  3. Step 3: Cross multiply
    380,512.16x = 525,110.64 × 229,580
  4. Step 4: Simplify right side
    380,512.16x = 120,554,900,731.20
  5. Step 5: Solve for x
    x = 120,554,900,731.20/380,512.16
  6. Step 6: Final answer
    x = 316,822.73

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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.