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Finding the Fourth Proportional to 355,476.09, 533,348.82 and 213,420.57

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Solution

The fourth proportional to 355,476.09, 533,348.82 and 213,420.57 is: 320,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,476.09 : 533,348.82 = 213,420.57 : x
  2. Step 2: Convert to fraction form
    355,476.09/533,348.82 = 213,420.57/x
  3. Step 3: Cross multiply
    355,476.09x = 533,348.82 × 213,420.57
  4. Step 4: Simplify right side
    355,476.09x = 113,827,609,173.23
  5. Step 5: Solve for x
    x = 113,827,609,173.23/355,476.09
  6. Step 6: Final answer
    x = 320,211.72

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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.