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Finding the Fourth Proportional to 565,814.30, 848,602.14 and 166,346.60

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Solution

The fourth proportional to 565,814.30, 848,602.14 and 166,346.60 is: 249,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,814.30 : 848,602.14 = 166,346.60 : x
  2. Step 2: Convert to fraction form
    565,814.30/848,602.14 = 166,346.60/x
  3. Step 3: Cross multiply
    565,814.30x = 848,602.14 × 166,346.60
  4. Step 4: Simplify right side
    565,814.30x = 141,162,080,741.72
  5. Step 5: Solve for x
    x = 141,162,080,741.72/565,814.30
  6. Step 6: Final answer
    x = 249,484.82

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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.