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Finding the Fourth Proportional to 566,775, 782,137.62 and 312,128.28

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Solution

The fourth proportional to 566,775, 782,137.62 and 312,128.28 is: 430,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,775 : 782,137.62 = 312,128.28 : x
  2. Step 2: Convert to fraction form
    566,775/782,137.62 = 312,128.28/x
  3. Step 3: Cross multiply
    566,775x = 782,137.62 × 312,128.28
  4. Step 4: Simplify right side
    566,775x = 244,127,270,053.89
  5. Step 5: Solve for x
    x = 244,127,270,053.89/566,775
  6. Step 6: Final answer
    x = 430,730.48

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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.