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Finding the Fourth Proportional to 422,103.69, 583,014.31 and 307,200.13

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Solution

The fourth proportional to 422,103.69, 583,014.31 and 307,200.13 is: 424,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,103.69 : 583,014.31 = 307,200.13 : x
  2. Step 2: Convert to fraction form
    422,103.69/583,014.31 = 307,200.13/x
  3. Step 3: Cross multiply
    422,103.69x = 583,014.31 × 307,200.13
  4. Step 4: Simplify right side
    422,103.69x = 179,102,069,598.32
  5. Step 5: Solve for x
    x = 179,102,069,598.32/422,103.69
  6. Step 6: Final answer
    x = 424,308.23

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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.