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Finding the Fourth Proportional to 569,310.56, 785,620.32 and 314,655.20

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Solution

The fourth proportional to 569,310.56, 785,620.32 and 314,655.20 is: 434,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,310.56 : 785,620.32 = 314,655.20 : x
  2. Step 2: Convert to fraction form
    569,310.56/785,620.32 = 314,655.20/x
  3. Step 3: Cross multiply
    569,310.56x = 785,620.32 × 314,655.20
  4. Step 4: Simplify right side
    569,310.56x = 247,199,518,913.66
  5. Step 5: Solve for x
    x = 247,199,518,913.66/569,310.56
  6. Step 6: Final answer
    x = 434,208.56

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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.