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Finding the Fourth Proportional to 565,654.85, 848,259.92 and 205,740.26

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Solution

The fourth proportional to 565,654.85, 848,259.92 and 205,740.26 is: 308,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,654.85 : 848,259.92 = 205,740.26 : x
  2. Step 2: Convert to fraction form
    565,654.85/848,259.92 = 205,740.26/x
  3. Step 3: Cross multiply
    565,654.85x = 848,259.92 × 205,740.26
  4. Step 4: Simplify right side
    565,654.85x = 174,521,216,488.38
  5. Step 5: Solve for x
    x = 174,521,216,488.38/565,654.85
  6. Step 6: Final answer
    x = 308,529.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.