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Finding the Fourth Proportional to 502,200.14, 692,635.37 and 330,294.65

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Solution

The fourth proportional to 502,200.14, 692,635.37 and 330,294.65 is: 455,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,200.14 : 692,635.37 = 330,294.65 : x
  2. Step 2: Convert to fraction form
    502,200.14/692,635.37 = 330,294.65/x
  3. Step 3: Cross multiply
    502,200.14x = 692,635.37 × 330,294.65
  4. Step 4: Simplify right side
    502,200.14x = 228,773,751,997.12
  5. Step 5: Solve for x
    x = 228,773,751,997.12/502,200.14
  6. Step 6: Final answer
    x = 455,542.99

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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.