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Finding the Fourth Proportional to 5,411,791.22, 7,468,326.77 and 3,265,200.50

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Solution

The fourth proportional to 5,411,791.22, 7,468,326.77 and 3,265,200.50 is: 4,506,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411,791.22 : 7,468,326.77 = 3,265,200.50 : x
  2. Step 2: Convert to fraction form
    5,411,791.22/7,468,326.77 = 3,265,200.50/x
  3. Step 3: Cross multiply
    5,411,791.22x = 7,468,326.77 × 3,265,200.50
  4. Step 4: Simplify right side
    5,411,791.22x = 24,385,584,303,567.38
  5. Step 5: Solve for x
    x = 24,385,584,303,567.38/5,411,791.22
  6. Step 6: Final answer
    x = 4,506,009.81

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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.