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Finding the Fourth Proportional to 533,564.50, 736,339.46 and 304,157.92

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Solution

The fourth proportional to 533,564.50, 736,339.46 and 304,157.92 is: 419,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,564.50 : 736,339.46 = 304,157.92 : x
  2. Step 2: Convert to fraction form
    533,564.50/736,339.46 = 304,157.92/x
  3. Step 3: Cross multiply
    533,564.50x = 736,339.46 × 304,157.92
  4. Step 4: Simplify right side
    533,564.50x = 223,963,478,567.52
  5. Step 5: Solve for x
    x = 223,963,478,567.52/533,564.50
  6. Step 6: Final answer
    x = 419,749.59

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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.