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Finding the Fourth Proportional to 712,380, 983,084.40 and 410,593.44

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Solution

The fourth proportional to 712,380, 983,084.40 and 410,593.44 is: 566,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,380 : 983,084.40 = 410,593.44 : x
  2. Step 2: Convert to fraction form
    712,380/983,084.40 = 410,593.44/x
  3. Step 3: Cross multiply
    712,380x = 983,084.40 × 410,593.44
  4. Step 4: Simplify right side
    712,380x = 403,648,005,606.34
  5. Step 5: Solve for x
    x = 403,648,005,606.34/712,380
  6. Step 6: Final answer
    x = 566,618.95

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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.