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Finding the Fourth Proportional to 565,664.91, 848,536.25 and 166,315.47

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Solution

The fourth proportional to 565,664.91, 848,536.25 and 166,315.47 is: 249,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,664.91 : 848,536.25 = 166,315.47 : x
  2. Step 2: Convert to fraction form
    565,664.91/848,536.25 = 166,315.47/x
  3. Step 3: Cross multiply
    565,664.91x = 848,536.25 × 166,315.47
  4. Step 4: Simplify right side
    565,664.91x = 141,124,704,399.21
  5. Step 5: Solve for x
    x = 141,124,704,399.21/565,664.91
  6. Step 6: Final answer
    x = 249,484.64

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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.