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Finding the Fourth Proportional to 771,082.80, 1,064,094.12 and 431,551.05

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Solution

The fourth proportional to 771,082.80, 1,064,094.12 and 431,551.05 is: 595,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,082.80 : 1,064,094.12 = 431,551.05 : x
  2. Step 2: Convert to fraction form
    771,082.80/1,064,094.12 = 431,551.05/x
  3. Step 3: Cross multiply
    771,082.80x = 1,064,094.12 × 431,551.05
  4. Step 4: Simplify right side
    771,082.80x = 459,210,934,784.83
  5. Step 5: Solve for x
    x = 459,210,934,784.83/771,082.80
  6. Step 6: Final answer
    x = 595,540.37

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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.