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Finding the Fourth Proportional to 566,722, 782,076.36 and 312,072.58

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Solution

The fourth proportional to 566,722, 782,076.36 and 312,072.58 is: 430,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,722 : 782,076.36 = 312,072.58 : x
  2. Step 2: Convert to fraction form
    566,722/782,076.36 = 312,072.58/x
  3. Step 3: Cross multiply
    566,722x = 782,076.36 × 312,072.58
  4. Step 4: Simplify right side
    566,722x = 244,064,587,422.21
  5. Step 5: Solve for x
    x = 244,064,587,422.21/566,722
  6. Step 6: Final answer
    x = 430,660.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.