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Finding the Fourth Proportional to 559,564.32, 772,198.16 and 304,915.44

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Solution

The fourth proportional to 559,564.32, 772,198.16 and 304,915.44 is: 420,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,564.32 : 772,198.16 = 304,915.44 : x
  2. Step 2: Convert to fraction form
    559,564.32/772,198.16 = 304,915.44/x
  3. Step 3: Cross multiply
    559,564.32x = 772,198.16 × 304,915.44
  4. Step 4: Simplify right side
    559,564.32x = 235,455,141,723.59
  5. Step 5: Solve for x
    x = 235,455,141,723.59/559,564.32
  6. Step 6: Final answer
    x = 420,782.98

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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.