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Finding the Fourth Proportional to 429,656.60, 643,503.18 and 205,174.28

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Solution

The fourth proportional to 429,656.60, 643,503.18 and 205,174.28 is: 307,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,656.60 : 643,503.18 = 205,174.28 : x
  2. Step 2: Convert to fraction form
    429,656.60/643,503.18 = 205,174.28/x
  3. Step 3: Cross multiply
    429,656.60x = 643,503.18 × 205,174.28
  4. Step 4: Simplify right side
    429,656.60x = 132,030,301,634.21
  5. Step 5: Solve for x
    x = 132,030,301,634.21/429,656.60
  6. Step 6: Final answer
    x = 307,292.62

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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.