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Finding the Fourth Proportional to 712,977.92, 983,909.52 and 411,171.92

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Solution

The fourth proportional to 712,977.92, 983,909.52 and 411,171.92 is: 567,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,977.92 : 983,909.52 = 411,171.92 : x
  2. Step 2: Convert to fraction form
    712,977.92/983,909.52 = 411,171.92/x
  3. Step 3: Cross multiply
    712,977.92x = 983,909.52 × 411,171.92
  4. Step 4: Simplify right side
    712,977.92x = 404,555,961,525.13
  5. Step 5: Solve for x
    x = 404,555,961,525.13/712,977.92
  6. Step 6: Final answer
    x = 567,417.24

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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.