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Finding the Fourth Proportional to 712,977.41, 983,908.83 and 411,171.41

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Solution

The fourth proportional to 712,977.41, 983,908.83 and 411,171.41 is: 567,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,977.41 : 983,908.83 = 411,171.41 : x
  2. Step 2: Convert to fraction form
    712,977.41/983,908.83 = 411,171.41/x
  3. Step 3: Cross multiply
    712,977.41x = 983,908.83 × 411,171.41
  4. Step 4: Simplify right side
    712,977.41x = 404,555,183,402.32
  5. Step 5: Solve for x
    x = 404,555,183,402.32/712,977.41
  6. Step 6: Final answer
    x = 567,416.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.