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Finding the Fourth Proportional to 566,700, 782,027.64 and 312,044.64

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Solution

The fourth proportional to 566,700, 782,027.64 and 312,044.64 is: 430,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,700 : 782,027.64 = 312,044.64 : x
  2. Step 2: Convert to fraction form
    566,700/782,027.64 = 312,044.64/x
  3. Step 3: Cross multiply
    566,700x = 782,027.64 × 312,044.64
  4. Step 4: Simplify right side
    566,700x = 244,027,533,393.85
  5. Step 5: Solve for x
    x = 244,027,533,393.85/566,700
  6. Step 6: Final answer
    x = 430,611.49

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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.