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Finding the Fourth Proportional to 705,309.53, 973,625.09 and 476,177.17

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Solution

The fourth proportional to 705,309.53, 973,625.09 and 476,177.17 is: 657,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,309.53 : 973,625.09 = 476,177.17 : x
  2. Step 2: Convert to fraction form
    705,309.53/973,625.09 = 476,177.17/x
  3. Step 3: Cross multiply
    705,309.53x = 973,625.09 × 476,177.17
  4. Step 4: Simplify right side
    705,309.53x = 463,618,035,182.25
  5. Step 5: Solve for x
    x = 463,618,035,182.25/705,309.53
  6. Step 6: Final answer
    x = 657,325.64

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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.