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Finding the Fourth Proportional to 514,343.12, 709,786.01 and 284,899.66

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Solution

The fourth proportional to 514,343.12, 709,786.01 and 284,899.66 is: 393,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,343.12 : 709,786.01 = 284,899.66 : x
  2. Step 2: Convert to fraction form
    514,343.12/709,786.01 = 284,899.66/x
  3. Step 3: Cross multiply
    514,343.12x = 709,786.01 × 284,899.66
  4. Step 4: Simplify right side
    514,343.12x = 202,217,791,058.26
  5. Step 5: Solve for x
    x = 202,217,791,058.26/514,343.12
  6. Step 6: Final answer
    x = 393,157.37

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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.