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Finding the Fourth Proportional to 565,654.91, 848,260.02 and 205,740.32

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Solution

The fourth proportional to 565,654.91, 848,260.02 and 205,740.32 is: 308,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,654.91 : 848,260.02 = 205,740.32 : x
  2. Step 2: Convert to fraction form
    565,654.91/848,260.02 = 205,740.32/x
  3. Step 3: Cross multiply
    565,654.91x = 848,260.02 × 205,740.32
  4. Step 4: Simplify right side
    565,654.91x = 174,521,286,126.16
  5. Step 5: Solve for x
    x = 174,521,286,126.16/565,654.91
  6. Step 6: Final answer
    x = 308,529.61

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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.