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Finding the Fourth Proportional to 565,411.08, 848,043.66 and 471,229.64

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Solution

The fourth proportional to 565,411.08, 848,043.66 and 471,229.64 is: 706,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,411.08 : 848,043.66 = 471,229.64 : x
  2. Step 2: Convert to fraction form
    565,411.08/848,043.66 = 471,229.64/x
  3. Step 3: Cross multiply
    565,411.08x = 848,043.66 × 471,229.64
  4. Step 4: Simplify right side
    565,411.08x = 399,623,308,606.08
  5. Step 5: Solve for x
    x = 399,623,308,606.08/565,411.08
  6. Step 6: Final answer
    x = 706,783.65

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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.