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Finding the Fourth Proportional to 507,563.24, 700,410.44 and 289,763.28

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Solution

The fourth proportional to 507,563.24, 700,410.44 and 289,763.28 is: 399,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,563.24 : 700,410.44 = 289,763.28 : x
  2. Step 2: Convert to fraction form
    507,563.24/700,410.44 = 289,763.28/x
  3. Step 3: Cross multiply
    507,563.24x = 700,410.44 × 289,763.28
  4. Step 4: Simplify right side
    507,563.24x = 202,953,227,165.05
  5. Step 5: Solve for x
    x = 202,953,227,165.05/507,563.24
  6. Step 6: Final answer
    x = 399,858.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.