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Finding the Fourth Proportional to 705,560.32, 973,557.83 and 415,416.40

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Solution

The fourth proportional to 705,560.32, 973,557.83 and 415,416.40 is: 573,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,560.32 : 973,557.83 = 415,416.40 : x
  2. Step 2: Convert to fraction form
    705,560.32/973,557.83 = 415,416.40/x
  3. Step 3: Cross multiply
    705,560.32x = 973,557.83 × 415,416.40
  4. Step 4: Simplify right side
    705,560.32x = 404,431,887,535.06
  5. Step 5: Solve for x
    x = 404,431,887,535.06/705,560.32
  6. Step 6: Final answer
    x = 573,206.68

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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.