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Finding the Fourth Proportional to 569,230.22, 785,506.86 and 314,565

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Solution

The fourth proportional to 569,230.22, 785,506.86 and 314,565 is: 434,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,230.22 : 785,506.86 = 314,565 : x
  2. Step 2: Convert to fraction form
    569,230.22/785,506.86 = 314,565/x
  3. Step 3: Cross multiply
    569,230.22x = 785,506.86 × 314,565
  4. Step 4: Simplify right side
    569,230.22x = 247,092,965,415.90
  5. Step 5: Solve for x
    x = 247,092,965,415.90/569,230.22
  6. Step 6: Final answer
    x = 434,082.66

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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.