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Finding the Fourth Proportional to 566,830.32, 782,261.22 and 312,181.44

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Solution

The fourth proportional to 566,830.32, 782,261.22 and 312,181.44 is: 430,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,830.32 : 782,261.22 = 312,181.44 : x
  2. Step 2: Convert to fraction form
    566,830.32/782,261.22 = 312,181.44/x
  3. Step 3: Cross multiply
    566,830.32x = 782,261.22 × 312,181.44
  4. Step 4: Simplify right side
    566,830.32x = 244,207,434,115.76
  5. Step 5: Solve for x
    x = 244,207,434,115.76/566,830.32
  6. Step 6: Final answer
    x = 430,829.87

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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.