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Finding the Fourth Proportional to 705,205.02, 973,046.07 and 418,814.94

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Solution

The fourth proportional to 705,205.02, 973,046.07 and 418,814.94 is: 577,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,205.02 : 973,046.07 = 418,814.94 : x
  2. Step 2: Convert to fraction form
    705,205.02/973,046.07 = 418,814.94/x
  3. Step 3: Cross multiply
    705,205.02x = 973,046.07 × 418,814.94
  4. Step 4: Simplify right side
    705,205.02x = 407,526,231,424.29
  5. Step 5: Solve for x
    x = 407,526,231,424.29/705,205.02
  6. Step 6: Final answer
    x = 577,883.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.