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Finding the Fourth Proportional to 507,165.83, 699,840.38 and 303,176.24

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Solution

The fourth proportional to 507,165.83, 699,840.38 and 303,176.24 is: 418,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,165.83 : 699,840.38 = 303,176.24 : x
  2. Step 2: Convert to fraction form
    507,165.83/699,840.38 = 303,176.24/x
  3. Step 3: Cross multiply
    507,165.83x = 699,840.38 × 303,176.24
  4. Step 4: Simplify right side
    507,165.83x = 212,174,973,492.69
  5. Step 5: Solve for x
    x = 212,174,973,492.69/507,165.83
  6. Step 6: Final answer
    x = 418,354.24

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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.