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Finding the Fourth Proportional to 385,170.88, 531,534 and 215,405.68

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Solution

The fourth proportional to 385,170.88, 531,534 and 215,405.68 is: 297,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,170.88 : 531,534 = 215,405.68 : x
  2. Step 2: Convert to fraction form
    385,170.88/531,534 = 215,405.68/x
  3. Step 3: Cross multiply
    385,170.88x = 531,534 × 215,405.68
  4. Step 4: Simplify right side
    385,170.88x = 114,495,442,713.12
  5. Step 5: Solve for x
    x = 114,495,442,713.12/385,170.88
  6. Step 6: Final answer
    x = 297,258.82

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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.