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Finding the Fourth Proportional to 565,584.64, 780,511.86 and 307,462.07

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Solution

The fourth proportional to 565,584.64, 780,511.86 and 307,462.07 is: 424,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584.64 : 780,511.86 = 307,462.07 : x
  2. Step 2: Convert to fraction form
    565,584.64/780,511.86 = 307,462.07/x
  3. Step 3: Cross multiply
    565,584.64x = 780,511.86 × 307,462.07
  4. Step 4: Simplify right side
    565,584.64x = 239,977,794,086.43
  5. Step 5: Solve for x
    x = 239,977,794,086.43/565,584.64
  6. Step 6: Final answer
    x = 424,300.41

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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.