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Finding the Fourth Proportional to 533,494.70, 736,212.38 and 291,776.54

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Solution

The fourth proportional to 533,494.70, 736,212.38 and 291,776.54 is: 402,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,494.70 : 736,212.38 = 291,776.54 : x
  2. Step 2: Convert to fraction form
    533,494.70/736,212.38 = 291,776.54/x
  3. Step 3: Cross multiply
    533,494.70x = 736,212.38 × 291,776.54
  4. Step 4: Simplify right side
    533,494.70x = 214,809,500,941.57
  5. Step 5: Solve for x
    x = 214,809,500,941.57/533,494.70
  6. Step 6: Final answer
    x = 402,645.99

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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.