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Finding the Fourth Proportional to 771,074.17, 1,064,082.22 and 431,542.42

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Solution

The fourth proportional to 771,074.17, 1,064,082.22 and 431,542.42 is: 595,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,074.17 : 1,064,082.22 = 431,542.42 : x
  2. Step 2: Convert to fraction form
    771,074.17/1,064,082.22 = 431,542.42/x
  3. Step 3: Cross multiply
    771,074.17x = 1,064,082.22 × 431,542.42
  4. Step 4: Simplify right side
    771,074.17x = 459,196,612,558.71
  5. Step 5: Solve for x
    x = 459,196,612,558.71/771,074.17
  6. Step 6: Final answer
    x = 595,528.46

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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.