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Finding the Fourth Proportional to 507,913.36, 699,324.51 and 431,271.16

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Solution

The fourth proportional to 507,913.36, 699,324.51 and 431,271.16 is: 593,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,913.36 : 699,324.51 = 431,271.16 : x
  2. Step 2: Convert to fraction form
    507,913.36/699,324.51 = 431,271.16/x
  3. Step 3: Cross multiply
    507,913.36x = 699,324.51 × 431,271.16
  4. Step 4: Simplify right side
    507,913.36x = 301,598,492,644.13
  5. Step 5: Solve for x
    x = 301,598,492,644.13/507,913.36
  6. Step 6: Final answer
    x = 593,799.09

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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.