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Finding the Fourth Proportional to 569,054.94, 785,327.31 and 314,400.66

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Solution

The fourth proportional to 569,054.94, 785,327.31 and 314,400.66 is: 433,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,054.94 : 785,327.31 = 314,400.66 : x
  2. Step 2: Convert to fraction form
    569,054.94/785,327.31 = 314,400.66/x
  3. Step 3: Cross multiply
    569,054.94x = 785,327.31 × 314,400.66
  4. Step 4: Simplify right side
    569,054.94x = 246,907,424,580.03
  5. Step 5: Solve for x
    x = 246,907,424,580.03/569,054.94
  6. Step 6: Final answer
    x = 433,890.31

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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.