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Finding the Fourth Proportional to 569,311.08, 785,690.04 and 314,656.80

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Solution

The fourth proportional to 569,311.08, 785,690.04 and 314,656.80 is: 434,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,311.08 : 785,690.04 = 314,656.80 : x
  2. Step 2: Convert to fraction form
    569,311.08/785,690.04 = 314,656.80/x
  3. Step 3: Cross multiply
    569,311.08x = 785,690.04 × 314,656.80
  4. Step 4: Simplify right side
    569,311.08x = 247,222,713,778.27
  5. Step 5: Solve for x
    x = 247,222,713,778.27/569,311.08
  6. Step 6: Final answer
    x = 434,248.91

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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.