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Finding the Fourth Proportional to 565,410.08, 848,042.16 and 471,228.64

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Solution

The fourth proportional to 565,410.08, 848,042.16 and 471,228.64 is: 706,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,410.08 : 848,042.16 = 471,228.64 : x
  2. Step 2: Convert to fraction form
    565,410.08/848,042.16 = 471,228.64/x
  3. Step 3: Cross multiply
    565,410.08x = 848,042.16 × 471,228.64
  4. Step 4: Simplify right side
    565,410.08x = 399,621,753,719.46
  5. Step 5: Solve for x
    x = 399,621,753,719.46/565,410.08
  6. Step 6: Final answer
    x = 706,782.15

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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.