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Finding the Fourth Proportional to 533,076.80, 735,626.00 and 291,357.41

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Solution

The fourth proportional to 533,076.80, 735,626.00 and 291,357.41 is: 402,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,076.80 : 735,626.00 = 291,357.41 : x
  2. Step 2: Convert to fraction form
    533,076.80/735,626.00 = 291,357.41/x
  3. Step 3: Cross multiply
    533,076.80x = 735,626.00 × 291,357.41
  4. Step 4: Simplify right side
    533,076.80x = 214,330,083,138.92
  5. Step 5: Solve for x
    x = 214,330,083,138.92/533,076.80
  6. Step 6: Final answer
    x = 402,062.30

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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.