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Finding the Fourth Proportional to 516,017, 712,100.70 and 283,448.52

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Solution

The fourth proportional to 516,017, 712,100.70 and 283,448.52 is: 391,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,017 : 712,100.70 = 283,448.52 : x
  2. Step 2: Convert to fraction form
    516,017/712,100.70 = 283,448.52/x
  3. Step 3: Cross multiply
    516,017x = 712,100.70 × 283,448.52
  4. Step 4: Simplify right side
    516,017x = 201,843,889,505.96
  5. Step 5: Solve for x
    x = 201,843,889,505.96/516,017
  6. Step 6: Final answer
    x = 391,157.44

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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.