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Finding the Fourth Proportional to 569,475.86, 785,837.22 and 314,807

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Solution

The fourth proportional to 569,475.86, 785,837.22 and 314,807 is: 434,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,475.86 : 785,837.22 = 314,807 : x
  2. Step 2: Convert to fraction form
    569,475.86/785,837.22 = 314,807/x
  3. Step 3: Cross multiply
    569,475.86x = 785,837.22 × 314,807
  4. Step 4: Simplify right side
    569,475.86x = 247,387,057,716.54
  5. Step 5: Solve for x
    x = 247,387,057,716.54/569,475.86
  6. Step 6: Final answer
    x = 434,411.84

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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.