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Finding the Fourth Proportional to 700,709.10, 966,978.36 and 378,419.10

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Solution

The fourth proportional to 700,709.10, 966,978.36 and 378,419.10 is: 522,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,709.10 : 966,978.36 = 378,419.10 : x
  2. Step 2: Convert to fraction form
    700,709.10/966,978.36 = 378,419.10/x
  3. Step 3: Cross multiply
    700,709.10x = 966,978.36 × 378,419.10
  4. Step 4: Simplify right side
    700,709.10x = 365,923,080,710.68
  5. Step 5: Solve for x
    x = 365,923,080,710.68/700,709.10
  6. Step 6: Final answer
    x = 522,218.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.