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Finding the Fourth Proportional to 566,994.96, 782,453.64 and 312,346.32

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Solution

The fourth proportional to 566,994.96, 782,453.64 and 312,346.32 is: 431,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,994.96 : 782,453.64 = 312,346.32 : x
  2. Step 2: Convert to fraction form
    566,994.96/782,453.64 = 312,346.32/x
  3. Step 3: Cross multiply
    566,994.96x = 782,453.64 × 312,346.32
  4. Step 4: Simplify right side
    566,994.96x = 244,396,515,024.61
  5. Step 5: Solve for x
    x = 244,396,515,024.61/566,994.96
  6. Step 6: Final answer
    x = 431,038.25

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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.