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Finding the Fourth Proportional to 559,074.24, 771,419.92 and 329,703.48

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Solution

The fourth proportional to 559,074.24, 771,419.92 and 329,703.48 is: 454,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,074.24 : 771,419.92 = 329,703.48 : x
  2. Step 2: Convert to fraction form
    559,074.24/771,419.92 = 329,703.48/x
  3. Step 3: Cross multiply
    559,074.24x = 771,419.92 × 329,703.48
  4. Step 4: Simplify right side
    559,074.24x = 254,339,832,165.32
  5. Step 5: Solve for x
    x = 254,339,832,165.32/559,074.24
  6. Step 6: Final answer
    x = 454,930.34

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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.