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Finding the Fourth Proportional to 598,773.99, 824,904.50 and 417,157.41

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Solution

The fourth proportional to 598,773.99, 824,904.50 and 417,157.41 is: 574,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,773.99 : 824,904.50 = 417,157.41 : x
  2. Step 2: Convert to fraction form
    598,773.99/824,904.50 = 417,157.41/x
  3. Step 3: Cross multiply
    598,773.99x = 824,904.50 × 417,157.41
  4. Step 4: Simplify right side
    598,773.99x = 344,115,022,631.56
  5. Step 5: Solve for x
    x = 344,115,022,631.56/598,773.99
  6. Step 6: Final answer
    x = 574,699.35

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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.