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Finding the Fourth Proportional to 569,464.73, 785,877.73 and 314,832.32

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Solution

The fourth proportional to 569,464.73, 785,877.73 and 314,832.32 is: 434,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,464.73 : 785,877.73 = 314,832.32 : x
  2. Step 2: Convert to fraction form
    569,464.73/785,877.73 = 314,832.32/x
  3. Step 3: Cross multiply
    569,464.73x = 785,877.73 × 314,832.32
  4. Step 4: Simplify right side
    569,464.73x = 247,419,707,398.07
  5. Step 5: Solve for x
    x = 247,419,707,398.07/569,464.73
  6. Step 6: Final answer
    x = 434,477.67

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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.