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Finding the Fourth Proportional to 689,633.29, 951,153.91 and 471,970.99

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Solution

The fourth proportional to 689,633.29, 951,153.91 and 471,970.99 is: 650,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,633.29 : 951,153.91 = 471,970.99 : x
  2. Step 2: Convert to fraction form
    689,633.29/951,153.91 = 471,970.99/x
  3. Step 3: Cross multiply
    689,633.29x = 951,153.91 × 471,970.99
  4. Step 4: Simplify right side
    689,633.29x = 448,917,052,545.07
  5. Step 5: Solve for x
    x = 448,917,052,545.07/689,633.29
  6. Step 6: Final answer
    x = 650,950.38

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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.