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Finding the Fourth Proportional to 420,716.60, 584,508.28 and 415,672.06

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Solution

The fourth proportional to 420,716.60, 584,508.28 and 415,672.06 is: 577,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,716.60 : 584,508.28 = 415,672.06 : x
  2. Step 2: Convert to fraction form
    420,716.60/584,508.28 = 415,672.06/x
  3. Step 3: Cross multiply
    420,716.60x = 584,508.28 × 415,672.06
  4. Step 4: Simplify right side
    420,716.60x = 242,963,758,334.21
  5. Step 5: Solve for x
    x = 242,963,758,334.21/420,716.60
  6. Step 6: Final answer
    x = 577,499.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.