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Finding the Fourth Proportional to 533,585.12, 736,367.90 and 304,178.54

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Solution

The fourth proportional to 533,585.12, 736,367.90 and 304,178.54 is: 419,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,585.12 : 736,367.90 = 304,178.54 : x
  2. Step 2: Convert to fraction form
    533,585.12/736,367.90 = 304,178.54/x
  3. Step 3: Cross multiply
    533,585.12x = 736,367.90 × 304,178.54
  4. Step 4: Simplify right side
    533,585.12x = 223,987,307,522.13
  5. Step 5: Solve for x
    x = 223,987,307,522.13/533,585.12
  6. Step 6: Final answer
    x = 419,778.03

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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.