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Finding the Fourth Proportional to 566,766, 782,138.16 and 312,140.88

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Solution

The fourth proportional to 566,766, 782,138.16 and 312,140.88 is: 430,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,766 : 782,138.16 = 312,140.88 : x
  2. Step 2: Convert to fraction form
    566,766/782,138.16 = 312,140.88/x
  3. Step 3: Cross multiply
    566,766x = 782,138.16 × 312,140.88
  4. Step 4: Simplify right side
    566,766x = 244,137,293,543.98
  5. Step 5: Solve for x
    x = 244,137,293,543.98/566,766
  6. Step 6: Final answer
    x = 430,755.01

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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.