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Finding the Fourth Proportional to 565,323.22, 780,175.93 and 320,355.48

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Solution

The fourth proportional to 565,323.22, 780,175.93 and 320,355.48 is: 442,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,323.22 : 780,175.93 = 320,355.48 : x
  2. Step 2: Convert to fraction form
    565,323.22/780,175.93 = 320,355.48/x
  3. Step 3: Cross multiply
    565,323.22x = 780,175.93 × 320,355.48
  4. Step 4: Simplify right side
    565,323.22x = 249,933,634,539.60
  5. Step 5: Solve for x
    x = 249,933,634,539.60/565,323.22
  6. Step 6: Final answer
    x = 442,107.50

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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.