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Finding the Fourth Proportional to 704,053, 971,761.20 and 417,739.24

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Solution

The fourth proportional to 704,053, 971,761.20 and 417,739.24 is: 576,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,053 : 971,761.20 = 417,739.24 : x
  2. Step 2: Convert to fraction form
    704,053/971,761.20 = 417,739.24/x
  3. Step 3: Cross multiply
    704,053x = 971,761.20 × 417,739.24
  4. Step 4: Simplify right side
    704,053x = 405,942,785,149.49
  5. Step 5: Solve for x
    x = 405,942,785,149.49/704,053
  6. Step 6: Final answer
    x = 576,579.87

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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.