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Finding the Fourth Proportional to 364,266.40, 546,368.88 and 205,996.96

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Solution

The fourth proportional to 364,266.40, 546,368.88 and 205,996.96 is: 308,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,266.40 : 546,368.88 = 205,996.96 : x
  2. Step 2: Convert to fraction form
    364,266.40/546,368.88 = 205,996.96/x
  3. Step 3: Cross multiply
    364,266.40x = 546,368.88 × 205,996.96
  4. Step 4: Simplify right side
    364,266.40x = 112,550,328,318.61
  5. Step 5: Solve for x
    x = 112,550,328,318.61/364,266.40
  6. Step 6: Final answer
    x = 308,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.