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Finding the Fourth Proportional to 569,453.20, 785,811.64 and 314,789.20

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Solution

The fourth proportional to 569,453.20, 785,811.64 and 314,789.20 is: 434,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,453.20 : 785,811.64 = 314,789.20 : x
  2. Step 2: Convert to fraction form
    569,453.20/785,811.64 = 314,789.20/x
  3. Step 3: Cross multiply
    569,453.20x = 785,811.64 × 314,789.20
  4. Step 4: Simplify right side
    569,453.20x = 247,365,017,506.29
  5. Step 5: Solve for x
    x = 247,365,017,506.29/569,453.20
  6. Step 6: Final answer
    x = 434,390.42

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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.